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

B.Kh. Turmetov and B.J. Kadirkulov

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

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.

Keywords: Mixed type equation; Nonlocal equations; Equation with degeneration; Non-local problem; Integro-differentiation operator; Mittag–Leffler function (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921001880

DOI: 10.1016/j.chaos.2021.110835

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