### JOURNAL

- Ashyralyev A., Sobolevskii P.E. 1984. Theory of the interpolation of the linear operators and the stability of the difference schemes. Doklady Akademii Nauk SSSR, Vol. 275, No. 6, pp. 1289-1291.
- Ashyralyev A., Sobolevskii P.E. 1988. Difference schemes of the high order accuracy for parabolic equations with variable coefficients. Doklady Akademii Nauk Ukrainian SSR, Ser. A Fiz.-Math. and Tech. Sciences, No. 6, pp. 3-7.
- Ashyralyev A. 1989. On uniform difference schemes of a high order of approximation for evolution equations with a small parameter. Numerical Functional Analysis & Optimization, Vol. 10, No. 5-6, pp. 593-406.
- Ashyralyev A. 1990. On uniform difference schemes of a higher order of approximation for elliptical equations with a small parameter. Applicable Analysis, Vol. 36, pp. 211-220.
- Ashyralyev A., Fattorini H.O. 1992. On uniform difference schemes for second order singular perturbation problems in Banach spaces. SIAM Journal on Mathematical Analysis, Vol. 23, No. 1, pp. 29-54.
- Ashyralyev A. 1992. Stable solvability of Pade difference schemes for parabolic equations in Holder spaces. Ukrainian Mathematical Journal, Vol. 44, No. 11, pp. 1349-1358.
- Ashyralyev A., Sobolevskii P.E. 1995. Well-posed solvability of the Cauchy problem for difference equations of parabolic type. Nonlinear Analysis: Theory, Methods & Applications, Vol. 24, No. 2, pp. 257-264.
- Ashyralyev A. 1995. Well-posed solvability of the boundary value problem for difference equations of elliptic type. Nonlinear Analysis: Theory, Methods & Applications, Vol. 24, No. 2, pp. 251-256.
- Ashyralyev A., Akca H. 2001. Stability estimates of difference schemes for neutral delay differential equations. Nonlinear Analysis: Theory, Methods & Applications, Vol. 44, No. 4, pp. 443-452.
- Ashyralyev A., Yurtsever A. 2001. On a nonlocal boundary value problem for semilinear hyperbolic-parabolic equations. Nonlinear Analysis: Theory, Methods & Applications, Vol. 47, No. 5, pp. 3585-3592.
- Ashyralyev A., Hanalyev A., Sobolevskii P.E. 2001. Coercive solvability of the nonlocal boundary value problem for parabolic differential equations. Abstract & Applied Analysis, Vol. 6, Article ID 436047, 9 pages.
- Ashyralyev A., Sobolevskii P.E. 2001. A note on the difference schemes for hyperbolic equations. Abstract & Applied Analysis, Vol. 6, Article ID 694534, 8 pages.
- Ashyralyev A., Sobolevskii P.E. 2001. On the stability of the linear delay differential and difference equations. Abstract & Applied Analysis, Vol. 6, Article ID 535262, 31 pages.
- Ashyralyev A., Piskarev S., Weis L. 2002. On well-posedness of difference schemes for abstract parabolic equations in Lp([0,1];E) spaces. Numerical Functional Analysis & Optimization, Vol. 23, No. 7-8, pp. 669-693.
- Ashyralyev A. 2003. On well-posedness of the nonlocal boundary value problem for elliptic equations. Numerical Functional Analysis & Optimization, Vol. 24, No. 1-2, pp. 1-15.
- Ashyralyev A., Karatay I., Sobolevskii P.E. 2004. On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Discrete Dynamics in Nature & Society, Vol. 2004, No. 2, pp. 273-286.
- Ashyralyev A., Aggez N. 2004. A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations. Numerical Functional Analysis & Optimization, Vol. 25, No. 5-6, pp. 439-462.
- Ashyralyev A., Yurtsever A. 2005. A note on the second order of accuracy difference schemes for hyperbolic-parabolic equations. Applied Mathematics & Computation, Vol. 165, No. 3, pp. 517-537.
- Ashyralyev A., Sobolevskii P.E. 2005. Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Discrete Dynamics in Nature & Society, Vol. 2005, No. 2, pp. 183-213.
- Ashyralyev A., Ozdemir Y. 2005. Stability of difference schemes for hyperbolic-parabolic equations. Computers & Mathematics with Applications, Vol. 50, No. 8-9, pp. 1443-1476.
- Ashyralyev A., Koksal M.E. 2005. On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space. Numerical Functional Analysis & Optimization, Vol. 26, No. 7-8, pp. 739-772.
- Ashyralyev A., Judakova G., Sobolevskii P.E. 2006. A note on the difference schemes for hyperbolic-elliptic equations. Abstract & Applied Analysis, Vol. 2006, Article ID 14816.
- Ashyralyev A., Sobolevskii P.E. 2006. Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Discrete Dynamics in Nature & Society, Vol. 2006, Article ID 75153.
- Ashyralyev A., Altay N. 2006. A note on the nonlocal boundary value problem for elliptic difference equations. Applied Mathematics & Computation, Vol. 175, No. 1, pp. 49-60.
- Ashyralyev A. 2006. Nonlocal boundary value problems for abstract parabolic equations: well-posedness in Bochner spaces. Journal of Evolution Equations, Vol. 6, No. 1, pp. 1-28.
- Ashyralyev A., Yurtsever A. 2006. The stability of difference schemes of second order of accuracy for hyperbolic-parabolic equations. Computers & Mathematics with Applications, Vol. 52, No. 3-4, pp. 259-268.
- Ashyralyev A. 2007. Well-posedness of the modified Crank-Nicholson difference schemes in Bochner spaces. Discrete & Continuous Dynamical Systems - Series B, Vol. 7, No. 1, pp. 29-51.
- Ashyralyev A. 2007. Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions. Mathematical Problems in Engineering, Vol. 2007, Article ID 90815.
- Ashyralyev A., Sozen Y., Sobolevskii P.E. 2007. A note on the parabolic differential and difference equations. Abstract & Applied Analysis, Vol. 2007, Article ID 61659.
- Ashyralyev A., Arjmand D. 2007. A note on the Taylor's decomposition on four points for a third-order differential equation. Applied Mathematics & Computation, Vol. 188, No. 2, pp. 1483-1490.
- Ashyralyev A., Erdogan A.S., Arslan N. 2007. On the numerical solution of the diffusion equation with variable space operator. Applied Mathematics & Computation, Vol. 189, No. 1, pp. 682-689.
- Ashyralyev A., Ozdemir Y. 2007. On nonlocal boundary value problems for hyperbolic-parabolic equations. Taiwanese Journal of Mathematics, Vol. 11, No. 4, pp. 1075-1089.
- Ashyralyev A., Koksal M.E. 2007. Stability of a second order of accuracy difference scheme for hyperbolic equations in a Hilbert space. Discrete Dynamics in Nature & Society, Vol. 2007, Article ID 57491.
- Ashyralyev A., Sirma A. 2008. Nonlocal boundary value problems for the Schrodinger equation. Computers & Mathematics with Applications, Vol. 55, No. 3, pp. 392-407.
- Ashyralyev A., Cuevas C., Piskarev S. 2008. On well-posedness of difference schemes for abstract elliptic problems in Lp([0,T];E) spaces. Numerical Functional Analysis & Optimization, Vol. 29, No. 1-2, pp. 43-65.
- Ashyralyev A. 2008. On modified Crank-Nicholson difference schemes for stochastic parabolic equation. Numerical Functional Analysis & Optimization, Vol. 29, No. 3-4, pp. 268-282.
- Ashyralyev A. 2008. A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space. Journal of Mathematical Analysis & Applications, Vol. 344, No. 1, pp. 557-573.
- Arslan N., Erdogan A.S., Ashyralyev A. 2008. Computational fluid flow solution over endothelial cells inside the capillary vascular system. International Journal for Numerical Methods in Engineering, Vol. 74, No. 11, pp. 1679-1689.
- Ashyralyev A., Koksal M.E. 2008. A numerical solution of wave equation arising in non-homogeneous cylindrical shells. Turkish Journal of Mathematics, Vol. 32, No. 4, pp. 409-427.
- Ashyralyev A., Gercek O. 2008. Nonlocal boundary value problems for elliptic-parabolic differential and difference equations. Discrete Dynamics in Nature & Society, Vol. 2008, Article ID 904824.
- Ashyralyev A. 2009. Well-posedness of the difference schemes for elliptic equations in C(E) spaces. Applied Mathematics Letters, Vol. 22, No. 3, pp. 390-395.
- Ashyralyev A. 2009. A note on fractional derivatives and fractional powers of operators. Journal of Mathematical Analysis & Applications, Vol. 357, No. 1, pp. 232-236.
- Ashyralyev A., Koksal M.E. 2009. On the numerical solution of hyperbolic PDEs with variable space operators. Numerical Methods for Partial Differential Equations, Vol. 25, No. 5, pp. 1086-1099.
- Ashyralyev A., Ozdemir Y. 2009. On stable implicit difference scheme for hyperbolic-parabolic equations in a Hilbert space. Numerical Methods for Partial Differential Equations, Vol. 25, No. 5, pp. 1100-1118.
- Ashyralyev A., Sirma A. 2009. Modified Crank-Nicholson difference schemes for nonlocal boundary value problem for the Schrödinger equation. Discrete Dynamics in Nature & Society, Vol. 2009, Article ID 584718.
- Ashyralyev A., Arjmand D., Koksal M. 2009. Taylor's decomposition on four points for solving third-order linear time-varying systems. Journal of the Franklin Institute Engineering & Applied Mathematics, Vol. 346, No. 7, pp. 651-662.
- Ashyralyev A., Dal F., Pinar Z. 2009. On the numerical solution of fractional hyperbolic partial differential equations. Mathematical Problems in Engineering, Vol. 2009, Article ID 730465.
- Ashyralyev A., Sirma A. 2009. A note on the numerical solution of the semilinear Schrödinger equation. Nonlinear Analysis: Theory, Methods & Applications, Vol. 71, No. 12, pp. e2507-e2516.
- Ashyralyev A., Agarwal R.P., Shahmurov R. 2009. Taylor's decomposition at several points for odd order ordinary DEs. Neural, Parallel & Scientific Computations, Vol. 17, No. 1, pp. 1-16.
- Ashyralyev A., Yildirim O. 2010. On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations. Taiwanese Journal of Mathematics, Vol. 14, No. 1, pp. 165-194.
- Ashyralyev A., Erdogan A.S., Arslan N. 2010. On the modified Crank-Nicholson difference schemes for parabolic equation with non-smooth data arising in biomechanics. International Journal for Numerical Methods in Biomedical Engineering, Vol. 26, No. 5, pp. 501-510.
- Ashyralyev A., Koksal E.M., Agarwal R. 2010. A difference scheme for Cauchy problem for hyperbolic equation with self-adjoint operator. Mathematical & Computer Modelling, Vol. 52, pp. 409-424.
- Ashyralyev A., Sozen Y. 2010. Well-posedness of parabolic differential and difference equations. Computers and Mathematics with Applications, Vol. 60, pp. 792-802.
- Ashyralyev A., Gercek O. 2010. On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems. Abstract & Applied Analysis, Vol. 2010, Article ID 705172.
- Ashyralyev A., Misirli E., Mogol O. 2010. A note on the integral inequalities with two dependent limits. Journal of Inequalities & Applications, Vol. 2010, Article ID 430512.
- Ashyralyev A., Gercek O. 2010. Finite difference method for multipoint nonlocal elliptic-parabolic problems. Computers & Mathematics with Applications, Vol. 60, No. 7, pp. 2043-2052.
- Ashyralyev A. 2011. On a problem of determining the parameter of a parabolic equation. Ukrainian Mathematical Journal, Vol. 62, No. 9, pp. 1397-1408.
- Ashyralyev A., Dal F., Pinar Z. 2011. A note on the fractional hyperbolic differential and difference equations. Applied Mathematics & Computation, Vol. 217, No. 9, pp. 4654-4664.
- Ashyralyev A. 2011. On the well-posedness of the nonlocal boundary value problem for elliptic-parabolic equations. Electronic Journal of Qualitive Theory of Differential Equations, Issue 49, pp. 1-16.
- Ashyralyev A., Aggez N. 2011. Finite difference method for hyperbolic equations with the nonlocal integral condition. Discrete Dynamics in Nature and Society, Vol. 2011, Article ID 562385.
- Ashyralyev A., Hicdurmaz B. 2011. A note on the fractional Schrödinger differential and difference equations. Kybernetes, Vol. 40, No. 5, pp. 736-750.
- Ashyralyev A. 2011. Well-posedness of the Basset problem in spaces of smooth functions. Applied Mathematics Letters, Vol. 24, No. 7, pp. 1176-1180.
- Ashyralyev A., Koksal M.E., Agarwal R.P. 2011. An operator-difference scheme for abstract Cauchy problems. Computers & Mathematics with Applications, Vol. 61, No. 7, pp. 1855-1872.
- Ashyralyev A., Yildirim O. 2011. Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator. Applied Mathematics & Computation, Vol. 218, No. 3, pp. 1124-1131.
- Ashyralyev A., Sözen Y. 2011. A note on the parabolic equation with an arbitrary parameter at the derivative. Mathematical & Computer Modelling, Vol. 54, No. 11-12, pp. 2565-2572.
- Ashyralyev A., Dal F. 2012. Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition. Discrete Dynamics in Nature and Society, Vol. 2012, Article ID 434976.
- Ashyralyev A. 2012. Well-Posedness of the Modified Crank-Nicholson Difference Schemes in C(E) spaces. Applied Mathematics & Information Sciences, Vol. 6, No. 3, pp. 543-554.
- Ashyralyev A., Yilmaz S. 2012. An Approximation of Ultra Parabolic Equations. Abstract & Applied Analysis, Vol. 2012, Article ID 840621.
- Ashyralyev A., Gercek O. 2012. On the second order of accuracy implicit difference scheme for elliptic-parabolic equations. Abstract & Applied Analysis, Vol. 2012, Article ID 230190.
- Amanov D., Ashyralyev A. 2012. Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order. Abstract & Applied Analysis, Vol. 2012, Article ID 973102.
- Ashyralyev A., Sharifov Y.A. 2012. Existence and Uniqueness of Solutions of the System of Nonlinear Fractional Differential Equations with Nonlocal and Integral Boundary Conditions. Abstract & Applied Analysis, Vol. 2012, Article ID 594802.
- Ashyralyev A., Hicdurmaz B. 2012. On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition. International Journal of Computer Mathematics, Vol. 89, No. 13-14, pp. 1927-1936.
- Ashyralyev A., Gercek O. 2012. On a difference scheme of the second order of accuracy for elliptic-parabolic equations. Boundary Value Problems, Vol. 2012, Article No. 80.
- Ashyralyev A., Ozturk E. 2012. The Numerical Solution of Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition. Abstract & Applied Analysis, Vol. 2012, Article ID 730804.
- Ashyralyev A., Çakir Z. 2012. On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition. Discrete Dynamics in Nature and Society, Vol. 2012, Article ID 696179.
- Ashyralyev A., Ozesenli Tetikoglu F.S. 2012. FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions. Abstract & Applied Analysis, Vol. 2012, Article ID 454831.
- Ashyralyev A., Yıldırım O. 2012. A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem. Abstract & Applied Analysis, Vol. 2012, Article ID 846582.
- Ashyralyev A., Öztürk E. 2012. On Bitsadze-Samarskii Type Nonlocal Boundary Value Problems for Elliptic Differential and Difference Equations: Well-Posedness. Applied Mathematics & Computation, Vol. 219, No. 3, pp. 1093-1107.
- Ashyralyev A., Erdogan A.S., Demirdag O. 2012. On the determination of the right-hand side in a parabolic equation. Applied Numerical Mathematics, Vol. 62, No. 11, pp. 1672-1683.
- Ashyralyev A., Yilmaz S. 2012. Modified Crank–Nicholson difference schemes for ultra-parabolic equations. Computers & Mathematics with Applications, Vol. 64, No. 8, pp. 2756-2764.
- Ashyralyev A., San M.E. 2012. An approximation of semigroups method for stochastic parabolic equations. Abstract & Applied Analysis, Vol. 2012, Article ID 684248.
- Ashyralyev A., Aggez N. 2012. On the Solution of Multipoint NBVP for Hyperbolic Equations with Integral Condition. Malaysian Journal of Mathematical Sciences, Vol. 6(S), pp. 111-121.
- Ashyralyev A., Dural A., Sözen Y. 2012. On Well-Posedness of the Second Order Accuracy Difference Scheme for Reverse Parabolic Equations. Malaysian Journal of Mathematical Sciences, Vol. 6(S), pp. 91-109.
- Ashyralyev A., Erdogan A.S. 2012. Finite Difference Method for the Estimation of a Heat Source Dependent on Time Variable. Malaysian Journal of Mathematical Sciences, Vol. 6(S), pp. 139-150.
- Ashyralyev A. 2012. Well-Posedness of Parabolic Differential and Difference Equations with the Fractional Differential Operator. Malaysian Journal of Mathematical Sciences, Vol. 6(S), pp. 73-89.
- Ashyralyev A., Ozdemir Y. 2012. Numerical Solution of a Hyperbolic-Parabolic Problem with Nonlocal Boundary Conditions. Malaysian Journal of Mathematical Sciences, Vol. 6(S), pp. 31-48.
- Ashyralyev A., Gercek O. 2012. Well-Posedness of Multipoint Elliptic-Parabolic Differential Problems. Malaysian Journal of Mathematical Sciences, Vol. 6(S), pp. 123-137.
- Ashyralyev A., Öztürk E. 2013. On a difference scheme of fourth order of accuracy for the Bitsadze-Samarskii type nonlocal boundary value problem. Mathematical Methods in the Applied Sciences, Vol. 36, No. 8, pp. 936-955.
- Ashyralyev A. 2013. Well-posedness of fractional parabolic equations. Boundary Value Problems, Vol. 2013, Article No. 31.
- Ashyralyev A., Yildirim O. 2013. On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes. Boundary Value Problems, Vol. 2013, Article No. 29.
- Ashyralyev A., Sharifov Y.A. 2013. Optimal control problem for impulsive systems with integral boundary conditions. Electronic Journal of Differential Equations, Vol. 2013, Article No. 80.
- Ashyralyev A., Batyrov A. 2013. On stability of difference schemes in fractional spaces. Mathematical & Computer Modelling, Vol. 57, pp. 900–908.
- Ashyralyev A., Çakir Z. 2013. FDM for Fractional Parabolic Equations with the Neumann Condition. Advances in Difference Equations, Vol. 2013, Article No. 120.
- Ashyralyev A., Akat M. 2013. An approximation of stochastic hyperbolic equations: case with Wiener process. Mathematical Methods in the Applied Sciences, Vol 36, No. 9, pp. 1095-1106.
- Ashyralyev A., Ozesenli Tetikoglu F.S. 2013. A third order of accuracy difference scheme for the Bitsadze-Samarskii type nonlocal boundary value problem. Numerical Functional Analysis & Optimization, Vol. 34, No. 9, pp. 939–975.
- Ashyralyev A., Sharifov Y.A. 2013. Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions. Advances in Difference Equations, Vol. 2013, Article No. 173.
- Ashyralyev A., Yildirim O. 2013. On stability of a third order of accuracy difference scheme for nonlocal BVPs with self-adjoint operator. Abstract & Applied Analysis, Vol. 2013, Article ID 959216.
- Ashyralyev A., Agirseven D. 2013. On Convergence of Difference Schemes for Delay Parabolic Equations. Computers & Mathematics with Applications, Vol. 66, No. 7, pp. 1232-1244.
- Ashyralyev A., Urun M. 2013. Determination of a control parameter for the difference Schrödinger equation. Abstract & Applied Analysis, Vol. 2013, Article ID 548201.
- Ashyralyev A., Agirseven D. 2014. Stability of Parabolic Equations with Unbounded Operators Acting on Delay Terms. Electronic Journal of Differential Equations, Vol. 2014, Article No. 160.
- Ashyralyev A., Ashyralyyev C. 2014. On the problem of determining the parameter of an elliptic equation in a Banach space. Nonlinear Analysis: Modelling and Control, Vol. 19, No. 3, pp. 350-366.
- Ashyralyev A., Özger F. 2014. The hyperbolic-elliptic equations with the nonlocal condition. Mathematical Methods in the Applied Sciences, Vol. 37, No. 4, pp. 524-545.
- Ashyralyev A., Erdogan A.S. 2014. On the second order implicit difference schemes for a right hand side identification problem. Applied Mathematics & Computation, Vol. 226, pp. 212–228.
- Ashyralyev A., Hanalyev A. 2014. Well-Posedness of Nonlocal Parabolic Differential Problems with Dependent Operators. The Scientific World Journal, Vol. 2014, Article ID 519814.
- Ashyralyev A., Akturk S., Sozen Y. 2014. The structure of fractional spaces generated by a two-dimensional elliptic differential operator and its applications. Boundary Value Problems, Vol. 2014, Article No. 3.
- Ashyralyev A., Öztürk E. 2014. On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem. Boundary Value Problems, Vol. 2014, Article No. 14.
- Ashyralyev A., Prenov R. 2014. Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions. Advances in Difference Equations, Vol. 2014, Article No. 26.
- Ashyralyev A., Agirseven D. 2014. Well-Posedness of Delay Parabolic Difference Equations. Advances in Difference Equations, Vol. 2014, Article No. 18.
- Ashyralyev A., Ozdemir Y. 2014. On numerical solutions for hyperbolic–parabolic equations with the multipoint nonlocal boundary condition. Journal of the Franklin Institute, Vol. 351, No. 2, pp. 602-630.
- Ashyralyev A., Nalbant N., Sozen Y. 2014. Structure of fractional spaces generated by second order difference operators. Journal of the Franklin Institute, Vol. 351, No. 2, pp. 713-731.
- Ashyralyev A., Cakir Z. 2014. r-Modified Crank-Nicholson difference scheme for fractional parabolic PDE. Boundary Value Problems, Vol. 2014, Article No. 76.
- Ashyralyev A., Emirov N., Cakir Z. 2014. Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions. Electronic Journal of Differential Equations, Vol. 2014, Article No. 97.
- Amanov D., Ashyralyev A. 2014. Well-posedness of boundary-value problems for partial differential equations of even order. Electronic Journal of Differential Equations, Vol. 2014, Article No. 108.
- Ashyralyev A., Erdogan A.S. 2014. Well-posedness of the problem of right hand-side identification for a parabolic equation. Ukrainian Mathematical Journal, Vol. 66, No. 2, pp. 165-177.
- Ashyralyev A., Agirseven D. 2014. Well-posedness of delay parabolic equations with unbounded operators acting on delay terms. Boundary Value Problems, Vol. 2014, Article No. 126.
- Ashyralyev A., Agirseven D. 2014. On source identification problem for a delay parabolic equation. Nonlinear Analysis: Modelling and Control, Vol. 19, No. 3, pp. 335-349.
- Ashyralyev A., Aggez N. 2014. On the solution of NBVP for multidimensional hyperbolic equations. The Scientific World Journal, Vol. 2014, Article ID 841602.
- Ashyralyev A., Urun M. 2014. A second order of accuracy difference scheme for Schrödinger equations with an unknown parameter. Filomat, Vol. 28, No. 5, pp. 981–993.
- Ashyralyev A., Ozturk E. 2014. Stability of Difference Schemes for Bitsadze-Samarskii Type Nonlocal Boundary Value Problem Involving Integral Condition. Filomat, Vol. 28, No. 5, pp. 1027-1047.
- Ashyralyev A., Agirseven D. 2014. Stability of Delay Parabolic Difference Equations. Filomat, Vol. 28, No. 5, pp. 995-1006.
- Ashyralyev A., Ozesenli Tetikoglu F.S. 2014. On well-posedness of nonclassical problems for elliptic equations. Mathematical Methods in the Applied Sciences, Vol. 37, No. 17, pp. 2663-2676.
- Ashyralyev A., Aggez N. 2014. Nonlocal boundary value hyperbolic problems involving integral conditions. Boundary Value Problems, Vol. 2014, Article No. 205.
- Ashyralyev A., Modanli M. 2015. An operator method for telegraph partial differential and difference equations. Boundary Value Problems, Vol. 2015, Article No. 41.
- Ashyralyev A., Sarsenbi A. 2015. Well-posedness of a parabolic equation with nonlocal boundary. Boundary Value Problems, Vol. 2015, Article No. 38.
- Ashyralyev A., Tetikoglu F.S. 2015. A note on fractional spaces generated by the positive operator with periodic conditions and applications. Boundary Value Problems, Vol. 2015, Article No. 31.
- Ashyralyev A., Akturk S. 2015. Positivity of one-dimensional difference operator in the half-line and its applications. Applied & Computational Mathematics, Vol. 14, No. 2, pp. 204-220.
- Ashyralyev A., Pastor J., Piskarev S., Yurtsever H.A. 2015. Second order equations in functional spaces: qualitative and discrete well-posedness. Abstract & Applied Analysis, Vol. 2015, Article ID 948321.
- Ashyralyev A., Sarsenbi A. 2015. Well-posedness of an elliptic equation with involution. Electronic Journal of Differential Equations, Vol. 2015, Article No. A284.
- Ashyralyev A., Akturk S. 2015. The structure of fractional spaces generated by multi-dimensional elliptic difference operator. Advances in Difference Equations, Vol. 2015, Article No. 384.
- Ashyralyev A., Nalbant N. 2016. Positivity of a differential operator with nonlocal conditions. Filomat, Vol. 30, No. 3, pp. 885-904.
- Ashyralyev A., Akturk S. 2016. A note on positivity of one-dimensional elliptic differential operators. European Journal of Pure & Applied Mathematics, Vol. 9, No. 2, pp. 165-174.
- Hicdurmaz B., Ashyralyev A. 2016. A stable numerical method for multidimensional time fractional Schrödinger equations. Computers & Mathematics with Applications, Vol. 72, No. 6, pp. 1703-1713.
- Ashyralyev A., Agirseven D., Ceylan B. 2017. Bounded Solutions of Delay Nonlinear Evolutionary Equations. Journal of Computational & Applied Mathematics, Vol. 318, pp. 69–78.
- Ashyralyev A., Belakroum K., Guezane-Lakoud A. 2017. Stability of boundary value problems for third-order partial differential equations. Electronic Journal of Differential Equations, Vol. 2017, No. 54.
- Sazaklioglu A.U., Ashyralyev A., Erdogan A.S. 2017. Existence and Uniqueness Results for an Inverse Problem for Semilinear Parabolic Equations. Filomat, Vol. 31, No. 4, pp. 1057–1064.
- Hicdurmaz B., Ashyralyev A. 2017. On the Stability of Time-Fractional Schrödinger Differential Equations. Numerical Functional Analysis & Optimization, Vol. 38, No. 10, pp. 1215-1225.
- Ashyralyev A., Ozturk Beigmohammadi E. 2017. Well-Posedness of a Fourth Order of Accuracy Difference Scheme for Bitsadze-Samarskii-Type Problem. Numerical Functional Analysis & Optimization, Vol. 38, No. 10, pp. 1244-1259.
- Ashyralyev A., Sazaklioglu A.U. 2017. Investigation of a Time-Dependent Source Identification Inverse Problem with Integral Overdetermination. Numerical Functional Analysis & Optimization, Vol. 38, No. 10, pp. 1276-1294.
- Ashyralyev A., Sarsenbi A. 2017. Well-Posedness of a Parabolic Equation with Involution. Numerical Functional Analysis & Optimization, Vol. 38, No. 10, pp. 1295-1304.
- Ashyralyev A., Tetikoglu F.S. 2017. Structure of Fractional Spaces Generated by the Difference Operator and Its Applications. Numerical Functional Analysis & Optimization, Vol. 38, No. 10, pp. 1325-1340.
- Ashyralyev A., Simsek S.N. 2017. An Operator Method for a Third Order Partial Differential Equation. Numerical Functional Analysis & Optimization, Vol. 38, No. 10, pp. 1341-1359.
- Ashyralyev A., Akturk S. 2017. Positivity of One-Dimensional Operator 2mth Order on the Half-Line and its Applications. Numerical Functional Analysis & Optimization, Vol. 38, No. 10, pp. 1360-1372.
- Guezane-Lakoud A., Ashyralyev A. 2017. Positive Solutions for a System of Fractional Differential Equations with Nonlocal Integral Boundary Conditions. Differential Equations & Dynamical Systems, Vol. 25, No. 4, pp. 519-526.
- Ashyralyev A., Akturk S. 2017. A Note on Positivity of Two-Dimensional Differential Operators. Filomat, Vol. 31, No. 14, pp. 4651–4663.
- Ashyralyev A., Agirseven D. 2018. Bounded solutions of nonlinear hyperbolic equations with time delay. Electronic Journal of Differential Equations, Vol. 2018, Article No. 21.
- Ashyralyev A., Hicdurmaz B. 2018. A Stable Second Order of Accuracy Difference Scheme for a Fractional Schrödinger Differential Equation. Applied & Computational Mathematics, Vol. 17, No. 1, pp. 10-21.
- Sazaklioglu A.U., Erdogan A.S., Ashyralyev A. 2018. Existence and Uniqueness Results for an Inverse Problem for a Semilinear Equation with Final Overdetermination. Filomat, Vol. 32, No. 3, pp. 847-858.
- Belakroum K., Ashyralyev A., Guezane-Lakoud A. 2018. A Note on the Nonlocal Boundary Value Problem for a Third Order Partial Differential Equation. Filomat, Vol. 32, No. 3, pp. 801-808.
- Ashyralyev A., Emharab F. 2018. Identification hyperbolic problems with the Neumann boundary condition. Bulletin of the Karaganda University - Mathematics, Vol. 91, No. 3, pp. 89-98.
- Ashyralyev A., Hamad A. 2018. Numerical solution of the nonlocal boundary value problem for elliptic equations. Bulletin of the Karaganda University - Mathematics, Vol. 91, No. 3, pp. 99-107.
- Ashyralyev A., Gercek O., Zusi E. 2018. A Note on the Second Order of Accuracy Difference Scheme for Elliptic-Parabolic Equations in Hölder Spaces. Bulletin of the Karaganda University - Mathematics, Vol. 91, No. 3, pp. 108-116.
- Ashyralyev A., Emharab F. 2019. Source identification hyperbolic differential and difference problems. Journal of Inverse & Ill-Posed Problems, Vol. 27, No. 3, pp. 301-315.
- Ashyralyev A., Taskin A. 2019. The structure of fractional spaces generated by a two-dimensional neutron transport operator and its applications. Advances in Operator Theory, Vol. 4, No. 1, pp. 140-155.
- Ashyralyev A., Hamad A. 2019. A note on fractional powers of strongly positive operators and their applications. Fractional Calculus & Applied Analysis, Vol. 22, No. 2, pp. 302-325.
- Ashyralyev A., Erdogan A.S., Sazaklioglu A.U. 2019. Numerical solution of a source identification problem: almost coercivity. Journal of Inverse & Ill-posed Problems, Vol. 27, No. 4, pp. 457-468.
- Ashyralyev A., Akturk S. 2019. The Structure of Fractional Spaces Generated by a Two-Dimensional Difference Operator in a Half Plane. Ukrainian Mathematical Journal, Vol. 70, No. 8, pp. 1176-1191.
- Ashyralyev A., Agirseven D. 2019. Bounded solutions of semilinear time delay hyperbolic differential and difference equations. Mathematics, Vol. 7, No. 12, Article No. 1163.
- Ashyralyev A., Hamad A. 2019. Well-posedness of a nonlocal boundary value difference elliptic problem. Mathematical Modelling of Natural Phenomena, Vol. 14, No. 5, Article No. 507.
- Ashyralyev A., Erdogan A.S., Tekalan S.N. 2019. An investigation on finite difference method for the first order partial differential equation with the nonlocal boundary condition. Applied & Computational Mathematics, Vol. 18, No. 3, pp. 247-260.
- Ashyralyev A., Agirseven D. 2020. On the stable difference schemes for the Schrödinger equation with time delay. Computational Methods in Applied Mathematics, Vol. 20, No. 1, pp. 27-38.
- Ashyralyev A., Agirseven D., Agarwal R.P. 2020. On source identification problem for delay parabolic differential and difference equations. Applied & Computational Mathematics, Vol. 19, No. 2, pp. 175-204.
- Ashyralyev A., Erdogan A.S., Sarsenbi A. 2020. A Note on the Parabolic Identification Problem with Involution and Dirichlet Condition. Bulletin of the Karaganda University - Mathematics, Vol. 99, No. 3, pp. 130-139.
- Ashyraliyev M., Ashyralyyeva M., Ashyralyev A. 2020. A note on the hyperbolic-parabolic identification problem with involution and Dirichlet boundary condition. Bulletin of the Karaganda University - Mathematics, Vol. 99, No. 3, pp. 120-129.
- Ashyralyev A., Turk K., Agirseven D. 2020. On the stable difference scheme for the time delay telegraph equation. Bulletin of the Karaganda University - Mathematics, Vol. 99, No. 3, pp. 105-119.
- Ashyralyev A., Agirseven D., Turk K. 2020. On the stability of the telegraph equation with time delay. Filomat, Vol. 34, No. 4, pp. 1251–1259.
- Ashyralyev A., Ashyralyyev C., Zvyagin V.G. 2020. A note on well-posedness of source identification elliptic problem in a Banach space. Bulletin of the Karaganda University - Mathematics, Vol. 99, No. 3, pp. 96-104.
- Ashyralyev A., Sozen Y., Hezenci F. 2020. A remark on elliptic differential equations on manifold. Bulletin of the Karaganda University - Mathematics, Vol. 99, No. 3, pp. 75-85.
- Ashyralyev A., Hinçal E., Ibrahim S. 2020. On the Absolute Stable Difference Scheme for Third Order Delay Partial Differential Equations. Symmetry, Vol. 12, No. 6, Article No. 1033.
- Ashyralyev A., Ashyraliyev M., Ashyralyyeva M. 2020. A space-dependent identification problem for telegraph-parabolic equations. Computational Mathematics & Mathematical Physics, Vol. 60, No. 8, pp. 1294-1305.
- Ashyralyev A., Al-Hammouri A. 2021. Stability of the Space Identification Problem for the Elliptic-Telegraph Differential Equation. Mathematical Methods in the Applied Sciences, Vol. 44, No. 1, pp. 945-959.
- Ashyralyev A., Hicdurmaz B. 2021. Multidimensional problems for nonlinear fractional Schrödinger differential and difference equations. Mathematical Methods in the Applied Sciences, Vol. 44, No. 4, pp. 2731-2751.
- Ashyralyev A., Al-Hammouri A., Ashyralyyev C. 2021. On the absolute stable difference scheme for the space identification elliptic-telegraph problem. Numerical Methods for Partial Differential Equations, Vol. 37, No. 2, pp. 962-986.
- Ashyralyev A., Hicdurmaz B. 2021. Bounded Solutions of Second Order of Accuracy Difference Schemes for Semilinear Fractional Schrödinger Equations. Fractional Calculus & Applied Analysis, Vol. 23, No 6, pp. 1723-1761.
- Ashyralyev A., Hincal E., Kaymakamzade B. 2021. Crank-Nicholson difference scheme for the system of nonlinear parabolic equations observing epidemic models with general nonlinear incidence rate. Mathematical Biosciences & Engineering, Vol. 18, No. 6, pp. 8883-8904.
- Ashyralyev A., Urun M. 2021. On the Crank-Nicolson difference scheme for the time-dependent source identification problem. Bulletin of the Karaganda University - Mathematics, Vol. 102, No. 2, pp. 35-44.
- Ashyralyev A., Ashyralyyeva M., Batyrova O. 2021. On the boundedness of solution of the second order ordinary differential equation with damping term and involution. Bulletin of the Karaganda University - Mathematics, Vol. 102, No. 2, pp. 16-24.
- Ashyralyev A., Erdogan A.S. 2021. Parabolic time dependent source identification problem with involution and Neumann condition. Bulletin of the Karaganda University - Mathematics, Vol. 102, No. 2, pp. 5-15.
- Ashyralyev A., Ibrahim S., Hincal E. 2021. On stability of the third order partial delay differential equation with involution and Dirichlet condition. Bulletin of the Karaganda University - Mathematics, Vol. 102, No. 2, pp. 25-34.
- Ashyralyev A., Sozen Y., Hezenci F. 2021. On Bitsadze-Samarskii type elliptic differential problems on hyperbolic plane. International Journal of Applied Mathematics, Vol. 34, No. 2, pp. 411-421.
- Ashyralyev A., Taskin A. 2021. Positivity of the difference neutron transport operator. International Journal of Applied Mathematics, Vol. 34, Vol. 2, pp. 325-338.
- Ashyralyev A., Urun M. 2021. Time-dependent source identification Schrodinger type problem. International Journal of Applied Mathematics, Vol. 34, No. 2, pp. 297-310.
- Ashyralyev A., Sozen Y., Hezenci F. 2021. A note on evolution equation on manifold. Filomat, Vol. 35, No. 15, pp. 5031-5043.
- Ashyralyev A., Belakroum K. 2022. A stable difference scheme for a third-order partial differential equation. Journal of Mathematical Sciences, Vol. 260, No. 4, pp. 399-417.
- Guezane-Lakoud A., Ashyralyev A. 2022. Existence of solutions for weighted p(t)-Laplacian mixed Caputo fractional differential equations at resonance. Filomat, Vol. 36, No. 1, pp. 231-241.

### CONFERENCE PAPER

- Ashyralyev A., Micheletzky G. 1993. The approximation of the solutions of stochastic differential equations in a Hilbert space by the difference schemes. Proceeding of the Scientific-Practical Conference Differential Equations and their Applications, Ashgabat, pp. 85-95.
- Ashyralyev A., Cimen F. 1998. On Rothe's difference scheme of approximate solution of nonlocal boundary value problem for the stochastic parabolic equation. Proceeding of International Conference Singular Equations and Equations Mixed Types, Fergana, pp. 140-141.
- Ashyralyev A., Akca H. 1999. On difference schemes for semilinear delay differential equations with constant delay. Proceeding of the Conference TSU "Actual Problems of Applied Mathematics, Physics and Engineering", Ashgabad, pp. 18-21.
- Ashyralyev A. 1999. The stability of difference schemes for partial differential equations mixed types. Proceeding of the Second International Symposium on Mathematical and Computational Applications, Baku, pp. 314-316.
- Ashyralyev A., Judakova G. 1999. On equations mixed type in Hilbert space. Proceeding of the Conference TSU "Actual Problems of Applied Mathematics, Physics and Engineering", Ashgabad, pp. 21-24.
- Ashyralyev A., Kendirli B. 2001. Positivity in Holder norms of one-dimensional difference operators with nonlocal boundary conditions. In: "Application of Mathematics in Engineering and Economics-26", Heron Press-Technical University of Sofia, pp. 134-137.
- Ashyralyev A., Yurtsever A. 2001. On a nonlocal boundary value problem for hyperbolic-parabolic equations. In: "Application of Mathematics in Engineering and Economics-26", Heron Press-Technical Univsity of Sofia, pp. 79-85.
- Ashyralyev A., Kendirli B. 2001. Well-posedness of the nonlocal boundary value problem for difference elliptic equations. Procceeding of the International Mathematical Conference "Kazakhstan-2000", Almaty, pp. 14-19.
- Ashyralyev A. 2002. On the uniform difference schemes of the nonlocal perturbation boundary value problem for differential equations mixed types. Proceeding of the International Conference "Modern Mathematical Problems", Astana, pp. 63-66.
- Ashyralyev A., Judakova G. 2002. A note on the nonlocal boundary value problem for hyperbolic-elliptic equations in a Hilbert space. Proceeding of the International Conference "Modern Mathematical Problems", Astana, pp. 66-70.
- Ashyralyev A., Akca H., Yenicerioglu F. 2003. Stability properties of difference schemes for neutral differential equations. Differential Equations & Applications (Eds. Cho, et al.) Nova Science Publishers NY, Vol. 3, pp. 57-66.
- Ashyralyev A. 2004. Nonlocal boundary value problems for PDE: well-posedness. Global Analysis & Applied Mathematics, AIP Conference Proceedings, Vol. 729, pp. 325-331.
- Ashyralyev A., Yurtsever A. 2004. A note on the second order of accuracy difference schemes for hyperbolic-parabolic equations in a Hilbert space. Proceedings of Dynamic Systems & Applications, Vol. 4, pp. 556-563.
- Ashyralyev A., Sobolevskii P.E. 2004. On the two-step a high order of accuracy difference schemes for the second order differential equations. Proceedings of Dynamic Systems & Applications, Vol. 4, pp. 528-535.
- Ashyralyev A., Judakova G., Sobolevskii P.E. 2005. On difference schemes for hyperbolic-elliptic equations. Dynamic Systems and Applications, Proceedings, pp. 90-112.
- Ashyralyev A., Yenial-Altay N. 2005. Positivity of difference operators generated by the nonlocal boundary conditions. Dynamic Systems and Applications, Proceedings, pp. 113-135.
- Ashyralyev A., Yurtsever A. 2005. On difference schemes for hyperbolic-parabolic equations. Dynamic Systems and Applications, Proceedings, pp. 136-153.
- Ashyralyev A., Gezgin E. 2005. On positivity of fourth order differential operators. Bilimde Modern Yontemler Sempozyumu-BMYS2005, Istanbul Teknik University, Turkey, pp. 536-544.
- Ashyralyev A., Koksal E.M. 2006. Stability of difference schemes for hyperbolic equations. Proceedings of the Conference "Differential & Difference Equations and Applications", Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publishing Corporation, pp. 117-130.
- Ashyralyev A. 2006. Well-posedness of the nonlocal boundary value problem for elliptic differential and difference equations. Proceedings of the Conference "Differential & Difference Equations and Applications", Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publ. Corporation, pp. 103-116.
- Ashyralyev A., Yaz N. 2006. On structure of fractional spaces generated by positive operators with the nonlocal boundary conditions. Proceedings of the Conference "Differential & Difference Equations and Applications", Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publ. Corporation, pp. 91-102.
- Ashyralyev A., Sirma A. 2007. A note on the modified Crank-Nicholson difference schemes for Schrodinger equation. Complex Analysis and Potential Theory. Proceeding of the conference satellite to ICM 2006, Gebze Institute of Technology, Turkey, pp. 256-271.
- Ashyralyev A. 2008. Nonlocal boundary-value problems for elliptic differential and difference equations: well-posedness in Bochner spaces. Proceeding of reports of the International Conference "Education, Science, Sports and Tourism in the Great Revival Era", Ashgabat, Turkmenistan, pp. 219-224.
- Ashyralyev A. 2009. High-accuracy stable difference schemes for well-posed NBVP. Operator Theory: Advances & Applications, Vol. 191, pp. 229-252.
- Ashyralyev A. 2009. A note on the modified Pade difference schemes. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, pp. 645-654.
- Ashyralyev A., Erdogan A.S., Demirci E. 2009. Numerical solution of a one-dimentional parabolic inverse problem. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, pp. 654-663.
- Ashyralyev A., Gercek O. 2009. Numerical solution of nonlocal boundary value problems for elliptic-parabolic equations. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, pp. 663-670.
- Ashyralyev A., Koksal M.E. 2009. On a difference scheme of second order of accuracy for hyperbolic equations. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, pp. 670-679.
- Ashyralyev A., Martinez M., Pastor J., Piskarev S. 2009. Weak maximal regularity for abstract hyperbolic problems in function spaces. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, pp. 679-689.
- Ashyralyev A., Ozdemir Y. 2009. A note on difference schemes of second order of accuracy for hyperbolic-parabolic equations. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, pp. 689-698.
- Ashyralyev A., Ozturk E. 2009. Numerical solutions of Bitsadze-Samarskii problem for elliptic equation. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, pp. 698-707.
- Ashyralyev A., Sozen Y. 2009. On well-posedness of parabolic differential and difference equations. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, pp. 707-717.
- Ashyralyev A. 2009. Modified Pade difference schemes for well-posed parabolic problems. Proceedings of the Third International Conference on Modeling, Simulation and Applied Optimization, 6 pages.
- Ashyralyev A., Sozen Y. 2009. A note on the abstract parabolic equation with an arbitrary parameter at the derivative. Proceedings of the Third International Conference on Modeling, Simulation and Applied Optimization, 6 pages.
- Ashyralyev A., Sirma A. 2009. Integral type nonlocal boundary value problems for the Schrödinger equation. Proceedings of the Third International Conference on Modeling, Simulation and Applied Optimization, 6 pages.
- Ashyralyev A. 2010. Nonlocal boundary-value problems for abstract elliptic equations: well-posedness in Bochner spaces. AIP Conference Proceedings, ICMS International Conference on Mathematical Science, Vol. 1309, pp. 66-85.
- Ashyralyev A., Ozdemir Y. 2010. A note on difference schemes of nonlocal boundary-value problems for hyperbolic-parabolic equations. AIP Conference Proceedings, ICMS International Conference on Mathematical Science, Vol. 1309, pp. 725-738.
- Ashyralyev A., Ozger F. 2011. The Hyperbolic-Elliptic Equation with the Nonlocal Condition. AIP Conference Proceedings, Vol. 1389, pp. 581-584.
- Ashyralyev A., Taskin A. 2011. Stable Difference Schemes for the Neutron Transport Equation. AIP Conference Proceedings, Vol. 1389, pp. 570-572.
- Ashyralyev A., Cakir Z. 2011. Stable Difference Schemes for Fractional Parabolic PDE. AIP Conference Proceedings, Vol. 1389, pp. 617-620.
- Ashyralyev A., Ozesenli Tetikoglu F.S. 2011. On Numerical Solutions of Nonclassical Problems for Elliptic Equations. AIP Conference Proceedings, Vol. 1389, pp. 585-588.
- Ashyralyev A., Demirdag O. 2011. On the Numerical Solution of Parabolic Equation with the Neumann Condition Arising in Determination of a Control Parameter. AIP Conference Proceedings, Vol. 1389, pp. 613-616.
- Ashyralyev A., Kaplan S., Sozen Y. 2011. Positivity of Two-Dimensional Elliptic Differential Operators with Nonlocal Conditions. AIP Conference Proceedings, Vol. 1389. pp. 605-608.
- Ashyralyev A., Akat M. 2011. An Approximation of Stochastic Hyperbolic Equations. AIP Conference Proceedings, Vol. 1389, pp. 625-628.
- Ashyralyev A., Gercek O. 2011. Numerical Solution of NBVP for Elliptic-Parabolic Equations. AIP Conference Proceedings, Vol. 1389, pp. 609-612.
- Ashyralyev A., Ozturk E. 2011. On the Fourth Order of Accuracy Difference Scheme for the Bitsadze-Samarskii Type Nonlocal Boundary Value Problem. AIP Conference Proceedings, Vol. 1389, pp. 577-580.
- Ashyralyev A., Yıldırım O. 2011. Second Order of Accuracy Stable Difference Schemes for Hyperbolic Problems Subject to Nonlocal Conditions with Self-Adjoint Operator. AIP Conference Proceedings, Vol. 1389, pp. 597-600.
- Ashyralyev A., Yilmaz S. 2011. Second Order of Accuracy Difference Schemes for Ultra Parabolic Equations. AIP Conference Proceedings, Vol. 1389, pp. 601-604.
- Ashyralyev A., Agirseven D. 2011. Finite Difference Method for Delay Parabolic Equations. AIP Conference Proceedings, Vol. 1389, pp. 573-576.
- Ashyralyev A., San M.E. 2011. Finite Difference Method for Stochastic Parabolic Equations. AIP Conference Proceedings, Vol. 1389, pp. 589-592.
- Ashyralyev A., Aggez N. 2011. Numerical Solution of NBVP for Hyperbolic Equations. AIP Conference Proceedings, Vol. 1389, pp. 593-596.
- Ashyralyev A., Ağırseven D. 2012. Approximate solutions of delay parabolic equations with the Neumann condition. AIP Conference Proceedings, Vol. 1479, pp. 555-558.
- Ashyralyev A., Özger Z.Ö., Özger F. 2012. A first order of accuracy stable difference scheme for hyperbolic-elliptic equations. AIP Conference Proceedings, Vol. 1479, pp. 582-585.
- Ashyralyev A., Tetikoğlu F.S. 2012. The positivity of the differential operator with periodic conditions. AIP Conference Proceedings, Vol. 1479, pp. 586-589.
- Ashyralyev A., Akat M. 2012. An approximation of stochastic telegraph equations. AIP Conference Proceedings, Vol. 1479, pp. 598-601.
- Amanov D., Ashyralyev A. 2012. Well-posedness of boundary value problems for partial diffferential equations of even order. AIP Conference Proceedings, Vol. 1470, pp. 3-7.
- Ashyralyev A., Sharifov Y.A. 2012. Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions. AIP Conference Proceedings, Vol. 1470, pp. 8-11.
- Ashyralyev A., Sharifov Y.A. 2012. Optimal control problem for impulsive systems with integral boundary conditions. AIP Conference Proceedings, Vol. 1470, pp. 12-15.
- Ashyralyev A., Hicdurmaz B. 2012. A note on the numerical solution of fractional Schrödinger differential equations. AIP Conference Proceedings, Vol. 1470, pp. 92-94.
- Ashyralyev A., Yildirim O. 2012. High order of accuracy stable difference schemes for numerical solutions of NBVP for hyperbolic equations. AIP Conference Proceedings, Vol. 1470, pp. 84-87.
- Ashyralyev A., Ozdemir Y. 2012. On numerical solution of multipoint NBVP for hyperbolic-parabolic equations with Neumann condition. AIP Conference Proceedings, Vol. 1470, pp. 80-83.
- Ashyralyev A., Akturk S., Sozen Y. 2012. Positivity of two-dimensional elliptic differential operators in Hölder spaces. AIP Conference Proceedings, Vol. 1470, pp. 77-79.
- Ashyralyev A., Ödemiş Özger Z., Özger F. 2012. On stability of hyperbolic-elliptic differential equations with nonlocal integral condition. AIP Conference Proceedings, Vol. 1470, pp. 73-76.
- Ashyralyev A., Emirov N., Cakir Z. 2012. Fractional parabolic differential and difference equations with the Dirichlet-Neumann condition. AIP Conference Proceedings, Vol. 1470, pp. 69-72.
- Ashyralyev A., Aggez N. 2012. NBVP for hyperbolic equations involving multi-point and integral conditions. AIP Conference Proceedings, Vol. 1470, pp. 65-68.
- Ashyralyev A., Ozesenli Tetikoglu F.S. 2012. A third-order of accuracy difference scheme for the Bitsadze-Samarskii type nonlocal boundary value problem. AIP Conference Proceedings, Vol. 1470, pp. 61-64.
- Ashyralyev A., Tetikoğlu F.S. 2012. The structure of fractional spaces generated by the positive operator with periodic conditions. AIP Conference Proceedings, Vol. 1470, pp. 57-60.
- Ashyralyev A., Ozturk E. 2012. On Bitsadze-Samarskii type nonlocal boundary value problems for semi-linear elliptic equations. AIP Conference Proceedings, Vol. 1470, pp. 114-117.
- Ashyralyev A., Aggez N., Hezenci F. 2012. Boundary value problem for a third order partial differential equation. AIP Conference Proceedings, Vol. 1470, pp. 130-133.
- Ashyralyev A., Yilmaz S. 2012. On the numerical solution of ultra-parabolic equations with the Neumann condition. AIP Conference Proceedings, Vol. 1470, pp. 240-243.
- Ashyralyev A., Erdogan A.S. 2013. Stability of implicit difference scheme for solving the identification problem of a parabolic equation. Lecture Notes in Computer Science, Vol. 8236, pp. 271-278.
- Ashyralyev A., Yilmaz S. 2013. Modified Crank-Nicholson difference schemes for ultra parabolic equations with Neumann condition. Lecture Notes in Computer Science, Vol. 8236, pp. 182-189.
- Ashyralyev A., Yildirim O. 2013. High order accurate difference schemes for hyperbolic IBVP. Lecture Notes in Computer Science, Vol. 8236, pp. 174-181.
- Ashyralyev A., Gercek O., Zusi E. 2014. Well-posedness of difference scheme for elliptic-parabolic equations in Hölder spaces without a weight. AIP Conference Proceedings, Vol. 1611, pp. 84-88.
- Ashyralyev A., Shahmurov R. 2014. High-accurate difference schemes for the differential equation of 2n-th order. AIP Conference Proceedings, Vol. 1611, pp. 141-144.
- Ashyralyev A., Sazaklioglu A.U. 2014. A note on the stability of a time-dependent source identification problem. AIP Conference Proceedings, Vol. 1611, pp. 186-189.
- Ashyralyev A., Akturk S. 2014. Fractional spaces generated by the positive differential operator in the half-line R+ and their applications. AIP Conference Proceedings, Vol. 1611, pp. 211-215.
- Ashyralyev A., Simsek Ş.N. 2014. Nonlocal boundary value problems for a third order partial differential equation. AIP Conference Proceedings, Vol. 1611, pp. 234-240.
- Ashyralyev A., Artykov M. 2014. A note on fractional parabolic differential and difference equations. AIP Conference Proceedings, Vol. 1611, pp. 251-254.
- Ashyralyev A., Ozesenli Tetikoglu F.S. 2014. Well-posedness of a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point NBVPs. AIP Conference Proceedings, Vol. 1611, pp. 271-275.
- Ashyralyev A., Modanli M. 2014. A numerical solution for a telegraph equation. AIP Conference Proceedings, Vol. 1611, pp. 300-304.
- Ashyralyev A., Tetikoglu F.S. 2014. The positivity of the second order difference operator with periodic conditions in Hölder spaces and its applications. AIP Conference Proceedings, Vol. 1611, pp. 336-343.
- Ashyralyev A., Tekalan S.N., Erdogan A.S. 2014. On a first order partial differential equation with the nonlocal boundary condition. AIP Conference Proceedings, Vol. 1611, pp. 369-373.
- Ashyralyev A. 2015. Well-Posedness in Hölder Spaces of Elliptic Differential and Difference Equations. Lecture Notes in Computer Science, Vol. 9045, pp. 25-37.
- Ashyralyev A., Agirseven D. 2015. Difference Schemes for Delay Parabolic Equations with Periodic Boundary Conditions. Lecture Notes in Computer Science, Vol. 9045, pp. 145-152.
- Ashyralyev A., Taskin A. 2015. Structures of the fractional spaces generated by the difference neutron transport operator. AIP Conference Proceedings, Vol. 1676, Article No. 020051.
- Ashyralyev A., Modanli M. 2015. Nonlocal boundary value problem for telegraph equations. AIP Conference Proceedings, Vol. 1676, Article No. 020078.
- Ashyralyev A., Okur U. 2015. Numerical solution of the stochastic parabolic equation with the dependent operator coefficient. AIP Conference Proceedings, Vol. 1676, Article No. 020004.
- Ashyralyev A., Akturk S. 2015. The structure of fractional spaces and its applications. AIP Conference Proceedings, Vol. 1676, Article No. 020047.
- Ashyralyev A., Nalbant N. 2015. Positivity of a differential operator with nonlocal conditions. AIP Conference Proceedings, Vol. 1676, Article No. 020066.
- Ashyralyev A., Tetikoglu F.S. 2015. Pointwise estimates of the Green's function of a second order differential operator with the variable coefficient. AIP Conference Proceedings, Vol. 1676, Article No. 020100.
- Ashyralyev A., Çekiç F. 2016. On Source Identification Problem for Telegraph Differential Equations. Springer Proceedings in Mathematics & Statistics, Vol. 164, pp. 39-50.
- Ashyralyev A., Karabaeva B., Sarsenbi A.M. 2016. Stable difference scheme for the solution of an elliptic equation with involution. AIP Conference Proceedings, Vol. 1759, Article No. 020111.
- Ashyralyev A., Agirseven D., Turk K. 2016. On the stability of the telegraph equation with time delay. AIP Conference Proceedings, Vol. 1759, Article No. 020022.
- Belakroum K., Ashyralyev A., Guezane-Lakoud A. 2016. A note on the nonlocal boundary value problem for a third order partial differential equation. AIP Conference Proceedings, Vol. 1759, Article No. 020021.
- Ashyralyev A., Ozesenli Tetikoglu F.S., Kahraman T. 2016. Source identification problem for an elliptic-hyperbolic equation. AIP Conference Proceedings, Vol. 1759, Article No. 020036.
- Ashyralyev A., Karaca B. 2016. A note on the Dirichlet problem for model complex partial differential equations. AIP Conference Proceedings, Vol. 1759, Article No. 020098.
- Ashyralyev A., Gambo Y.Y. 2016. r–modified Crank-Nicholson difference schemes for one dimensional nonlinear viscous Burgers' equation for an incompressible flow. AIP Conference Proceedings, Vol. 1759, Article No. 020100.
- Ashyralyev A., Tetikoglu F.S. 2016. The positivity of the difference operator with periodic conditions and its application. AIP Conference Proceedings, Vol. 1759, Article No. 020047.
- Ashyralyev A., Sarsenbi A.A. 2016. Green's function of the second order differential operator with involution. AIP Conference Proceedings, Vol. 1759, Article No. 020002.
- Ashyralyev A., Cakir Z. 2016. Stability estimates for solution of IBVP to fractional parabolic differential and difference equations. AIP Conference Proceedings, Vol. 1759, Article No. 020087.
- Sazaklioglu A.U., Erdogan A.S., Ashyralyev A. 2016. On the unique solvability of an inverse problem for a semilinear equation with final overdetermination. AIP Conference Proceedings, Vol. 1759, Article No. 020035.
- Ashyralyev A., Taskin A. 2016. Structure of fractional spaces generated by the two dimensional neutron transport operator. AIP Conference Proceedings, Vol. 1759, Article No. 020066.
- Ashyralyev A., Urun M. 2016. Determination of a control parameter of the r-modified Crank-Nicholson difference scheme for the Schrödinger equation. AIP Conference Proceedings, Vol. 1759, Article No. 020086.
- Ashyralyev A., Okur U. 2016. Crank-Nicholson difference scheme for a stochastic parabolic equation with a dependent operator coefficient. AIP Conference Proceedings, Vol. 1759, Article No. 020103.
- Ashyralyev A., Turkcan K.T., Koksal M.E. 2016. Numerical solutions of telegraph equations with the Dirichlet boundary condition. AIP Conference Proceedings, Vol. 1759, Article No. 020055.
- Ashyralyev A., Sarsenbi A.M. 2017. Stability of a Hyperbolic Equation with the Involution. Springer Proceedings in Mathematics & Statistics, Vol. 216, pp. 204-212.
- Ashyralyev A., Belakroum K., Guezane-Lakoud A. 2017. Numerical algorithm for the third-order partial differential equation with local boundary conditions. AIP Conference Proceedings, Vol. 1880, Article No. 040008.
- Ashyralyev A., Belakroum K., Guezane-Lakoud A. 2017. Numerical algorithm for the third-order partial differential equation with nonlocal boundary conditions. AIP Conference Proceedings, Vol. 1880, Article No. 040012.
- Ashyralyev A., Emharab F. 2017. Source identification problems for hyperbolic differential and difference equations. AIP Conference Proceedings, Vol. 1880, Article No. 040001.
- Ashyralyev A., Hamad A. 2017. Fractional powers of strongly positive operators and their applications. AIP Conference Proceedings, Vol. 1880, Article No. 050001.
- Ashyralyev A., Gercek O., Zusi E. 2018. Numerical Solution of a Two Dimensional Elliptic-Parabolic Equation with Dirichlet-Neumann Condition. AIP Conference Proceedings, Vol. 1997, Article No. 020046.
- Ashyralyev A., Emharab F. 2018. Identification hyperbolic problems with nonlocal conditions, AIP Conference Proceedings, Vol. 1997, Article No. 020031.
- Ashyralyev A., Urun M. 2018. Source Identification Problems for Schrödinger Differential and Difference Equations. AIP Conference Proceedings, Vol. 1997, Article No. 020014.
- Ashyralyev A., Hamad A. 2018. Numerical Solution of Nonlocal Elliptic Problems. AIP Conference Proceedings, Vol. 1997, Article No. 020081.
- Ashyralyev A., Emharab F. 2018. Second Order Difference Scheme for the Numerical Processing of Source Identification Terms in Hyperbolic Equations. AIP Conference Proceedings, Vol. 1997, Article No. 020005.
- Ashyralyev A., Hamad A. 2018. On the Well-Posedness of the Nonlocal Boundary Value Problem for Differential Equation of Elliptic Type. AIP Conference Proceedings, Vol. 1997, Article No. 020068.
- Ashyralyev A., Hincal E., Ibrahim S. 2018. Stability of the third order partial differential equations with time delay. AIP Conference Proceedings, Vol. 1997, Article No. 020086.
- Ashyralyev A., Hincal E., Kaymakamzade B. 2018. Numerical solutions of the system of partial differential equations for observing epidemic models. AIP Conference Proceedings, Vol. 1997, Article No. 0020050.
- Ashyralyev A., Ahmed A. 2019. A numerical algorithm for the involutory parabolic problem. AIP Conference Proceedings, Vol. 2183, Article No. 070010.
- Ashyralyev A., Urun M. 2019. Time-dependent source identification problem for the Schrödinger equation with nonlocal boundary conditions. AIP Conference Proceedings, Vol. 2183, Article No. 070016.
- Ashyralyev A., Arikan C. 2019. A numerical algorithm for a source identification problem for the parabolic-elliptic equation. AIP Conference Proceedings, Vol. 2183, Article No. 070009.
- Ashyralyev A., Al-Hammouri A. 2019. A numerical algorithm for a source identification problem for the elliptic-telegraph equation. AIP Conference Proceedings, Vol. 2183, Article No. 070008.
- Ashyralyev A., Belakroum K. 2019. On the stability of nonlocal boundary value problem for a third order PDE. AIP Conference Proceedings, Vol. 2183, Article No. 070012.
- Ashyralyev A., Hincal E., Ibrahim S. 2019. A numerical algorithm for the third-order partial differential equation with time delay. AIP Conference Proceedings, Vol. 2183, Article No. 070014.
- Ashyralyev A., Kaymakamzade B., Hayder L. 2019. Numerical solutions of the system of fractional differential equations observing epidemic models. AIP Conference Proceedings, Vol. 2183, Article No. 070017.
- Ashyralyev A., Hincal E., Kaymakamzade B. 2019. A Crank Nicolson difference scheme for system of nonlinear observing epidemic models. AIP Conference Proceedings, Vol. 2183, Article No. 070013.
- Ashyralyev A., Hamad A. 2019. On elliptic differential and difference problems in a Hilbert space with special type nonlocal conditions. AIP Conference Proceedings, Vol. 2183, Article No. 070011.
- Ashyralyev A., Abbas T. 2019. A numerical algorithm for the involutory Schrödinger type problem. AIP Conference Proceedings, Vol. 2183, Article No. 070015.
- Ashyralyev A., Ahmed A. 2021. A numerical algorithm for the involutory parabolic problem with Neumann condition. AIP Conference Proceedings, Vol. 2334, Article No. 060009.
- Ashyralyev A., Sozen Y., Hezenci F. 2021. A note on parabolic differential equations on manifold. AIP Conference Proceedings, Vol. 2334, Article No. 060003.
- Ashyralyev A., Al-Hammouri A. 2021. A note on the elliptic-telegraph identification problem with non-local condition. AIP Conference Proceedings, Vol. 2334, Article No. 060006.
- Ashyralyev A., Arikan C. 2021. On R-modified Crank-Nicholson difference schemes for the source identification parabolic-elliptic problem. AIP Conference Proceedings, Vol. 2334, Article No. 060004.
- Ashyralyev A., Al-Hazaimeh H. 2021. A numerical algorithm for the source identification telegraph problem. AIP Conference Proceedings, Vol. 2334, Article No. 060007.
- Ashyralyev A., Abdalmohammed B. 2021. A numerical algorithm for the involutory hyperbolic problem. AIP Conference Proceedings, Vol. 2334, Article No. 060005.
- Ashyralyev A., Sirma A. 2021. A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem. AIP Conference Proceedings, Vol. 2334, Article No. 060002.
- Ashyralyev A., Abbas T. 2021. On the boundedness of the Schrödinger type differential equation with time involution. AIP Conference Proceedings, Vol. 2334, Article No. 060008.
- Ashyralyev A., Taskin A. 2021. Source identification problems for two dimensional neutron transport differential and difference equations. AIP Conference Proceedings, Vol. 2334, Article No. 060017.
- Ashyralyev A., Abbas T. 2021. On the boundedness of solution of the first order ordinary differential equation with involution. AIP Conference Proceedings, Vol. 2325, Article No. 020068.
- Ashyralyev A., Belakroum K. 2021. Numerical study of nonlocal BVP for a third order partial differential equation. AIP Conference Proceedings, Vol. 2325, Article No. 020066.
- Ashyralyev A., Ashyralyyev C., Zvyagin V.G. 2021. On well-posedness of source identification elliptic problem with nonlocal boundary conditions. AIP Conference Proceedings, Vol. 2325, Article No. 020021.
- Ashyralyev A., Abdalmohammed B. 2021. A numerical algorithm for the hyperbolic involutory problem with the Neumann condition. AIP Conference Proceedings, Vol. 2325, Article No. 020009.
- Ashyralyev A., Zvyagin V., Turbin M. 2021. The convergence of approximation attractors to attractors for Bingham model with periodical boundary conditions on spatial variables. AIP Conference Proceedings, Vol. 2325, Article No. 020026.
- Ashyralyev A., Zvyagin V., Zvyagin A. 2021. About optimal feedback control problem for motion model of nonlinearly viscous fluid. AIP Conference Proceedings, Vol. 2325, Article No. 020003.
- Ashyralyev A., Al-Hazaimeh H. 2021. A numerical solution for the source identification telegraph problem with Neumann condition. AIP Conference Proceedings, Vol. 2325, Article No. 020034.
- Ashyralyev A., Al-Hammouri A. 2021. Numerical solution to the second order of accuracy difference scheme for the source identification elliptic-telegraph problem. AIP Conference Proceedings, Vol. 2325, Article No. 020057.
- Ashyralyev A., Ahmed A. 2021. On the stability of solution of the parabolic differential equation with time involution. AIP Conference Proceedings, Vol. 2325, Article No. 020037.
- Ashyralyev A., Sozen Y., Hezenci F. 2021. A note on hyperbolic differential equations on manifold. AIP Conference Proceedings, Vol. 2325, Article No. 020012.
- Ashyralyev A., Agirseven D., Turk K. 2021. On the stability of second order of accuracy difference scheme for the numerical solution of the time delay telegraph equation. AIP Conference Proceedings, Vol. 2325, Article No. 020032.
- Ashyralyev A., Yildirim O. 2021. On the asymptotic formula for the solution of nonlocal boundary value perturbation problems for hyperbolic equations. AIP Conference Proceedings, Vol. 2325, Article No. 020015.
- Ashyraliyev M., Ashyralyev A., Zvyagin V. 2021. On the source identification problem for hyperbolic-parabolic equation with nonlocal conditions. AIP Conference Proceedings, Vol. 2325, Article No. 020016.
- Ashyralyev A., Turk K., Agirseven D. 2021. On the Stability of the Time Delay Telegraph Equation with Neumann Condition. Springer Proceedings in Mathematics & Statistics, Vol. 351, pp. 201-211.
- Ashyralyev A., Hidayat T.A., Sarsenbi A.A. 2021. On the Stability of Schrödinger Type Involutory Differential Equations. Springer Proceedings in Mathematics & Statistics, Vol. 351, pp. 127-140.
- Ashyralyev A., Erdogan A.S. 2021. Numerical Solution of a Parabolic Source Identification Problem with Involution and Neumann Condition. Springer Proceedings in Mathematics & Statistics, Vol. 351, pp. 223-233.
- Ashyraliyev M., Ashyralyev A., Zvyagin V. 2021. A Space-Dependent Source Identification Problem for Hyperbolic-Parabolic Equations. Springer Proceedings in Mathematics & Statistics, Vol. 351, pp. 183-198.
- Ashyralyev A., Taskin A. 2021. The Structure of Fractional Spaces Generated by a Two-Dimensional Difference Neutron Transport Operator and Its Applications. Springer Proceedings in Mathematics & Statistics, Vol. 351, pp. 237-248.

### BOOK

- Ashyralyev A., Sobolevskii P.E. 1994. Well-Posedness of Difference Parabolic Equations. Birkhauser Verlag: Basel, Boston, Berlin, Vol. 69, 349 pages.
- Ashyralyev A., Sobolevskii P.E. 2004. New Difference Schemes for Partial Differential Equations. Birkhauser Verlag: Basel, Boston, Berlin, Vol. 148, 443 pages.
- Edited by Ashyralyev A., Lukashov A. 2012. "First International Conference on Analysis and Applied Mathematics" (ICAAM 2012). AIP Conference Proceedings, Vol. 1470, 270 pages.
- Ashyralyev A. 2013. Computational Mathematics, Textbook. The South Kazakhstan State University Named after M. Auezovuku Printing House, Chimkent, pp. 145.
- Edited by Ashyralyev A., Malkowsky E. 2014. "Second International Conference on Analysis and Applied Mathematics" (ICAAM 2014). AIP Conference Proceedings, Vol. 1611, 430 pages.
- Edited by Ashyralyev A., Malkowsky E., Lukashov A., Başar F. 2015. "Advancements in mathematical sciences: Proceedings of the International Conference on Advancements in Mathematical Sciences", Antalya, Turkey. ISBN: 978-0-7354-1323-8, Vol. 1676, 645 pages.
- Edited by Ashyralyev A., Lukashov A. 2016. "Third International Conference on Analysis and Applied Mathematics" (ICAAM 2016). AIP Conference Proceedings, Vol. 1759, 768 pages.
- Edited by Ashyralyev A., Lukashov A., Sadybekov M. 2018. "Fourth International Conference on Analysis and Applied Mathematics" (ICAAM 2018). AIP Conference Procedings, Vol. 1997.