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On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Boundary Conditions in Sobolev Classes

Author

Listed:
  • Onur Alp İlhan

    (Department of Mathematics and Science Education, Faculty of Education, Erciyes University, Kayseri 38039, Turkey)

  • Shakirbay G. Kasimov

    (Faculty of Mathematics, National University of Uzbekistan, Tashkent 100174, Uzbekistan)

  • Shonazar Q. Otaev

    (Faculty of Mathematics, National University of Uzbekistan, Tashkent 100174, Uzbekistan)

  • Haci Mehmet Baskonus

    (Department of Mathematics and Science Education, Faculty of education, Harran University, Sanliurfa 63190, Turkey)

Abstract

In this paper, we study the solvability of a mixed problem for a high-order partial differential equation with fractional derivatives with respect to time, and with Laplace operators with spatial variables and nonlocal boundary conditions in Sobolev classes.

Suggested Citation

  • Onur Alp İlhan & Shakirbay G. Kasimov & Shonazar Q. Otaev & Haci Mehmet Baskonus, 2019. "On the Solvability of a Mixed Problem for a High-Order Partial Differential Equation with Fractional Derivatives with Respect to Time, with Laplace Operators with Spatial Variables and Nonlocal Bounda," Mathematics, MDPI, vol. 7(3), pages 1-20, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:235-:d:211268
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    Cited by:

    1. Hari Mohan Srivastava, 2020. "Fractional-Order Integral and Derivative Operators and Their Applications," Mathematics, MDPI, vol. 8(6), pages 1-4, June.

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