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


Turmetov B.K. Kadirkulov B.J.
May 2021Elsevier Ltd

Chaos, Solitons and Fractals
2021#146

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.

Equation with degeneration , Integro-differentiation operator , Mittag–Leffler function , Mixed type equation , Non-local problem , Nonlocal equations

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