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On a problem for nonlocal mixed-type fractional order equation with degeneration

Author

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  • Turmetov, B.Kh.
  • Kadirkulov, B.J.

Abstract

In this paper, we study solvability of one boundary value problem for a nonlocal analogue of mixed parabolic-hyperbolic fractional-order equation with involution and degeneration. The problem is solved by using the variable separation method. Theorems on existence and uniqueness of solution to the considered problem are proved. Stability of solution to the considered problem is also established with respect to the nonlocal condition.

Suggested Citation

  • Turmetov, B.Kh. & Kadirkulov, B.J., 2021. "On a problem for nonlocal mixed-type fractional order equation with degeneration," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    • Handle: RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921001880
    DOI: 10.1016/j.chaos.2021.110835
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    References listed on IDEAS

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    1. Cabada, Alberto & Tojo, F.Adrián F., 2017. "On linear differential equations and systems with reflection," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 84-102.
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