Мақола

Unique solvability of a non‐local problem for mixed‐type equation with fractional derivative

Erkinjon KarimovDepartment of Mathematics and Statistics Sultan Qaboos University Al‐Khoudh 123 Muscat OmanAbdumauvlen BerdyshevKazakh National Pedagogical University named after Abai Almaty KazakhstanNilufar A. RakhmatullaevaTashkent State Technical University Universitet str., 2 Tashkent 100095 Uzbekistan

Mathematical Methods in the Applied Sciencesjournal2016en

ABI

Аннотация

In this work, we investigate a boundary problem with non‐local conditions for mixed parabolic–hyperbolic‐type equation with three lines of type changing with Caputo fractional derivative in the parabolic part. We equivalently reduce considered problem to the system of second kind Volterra integral equations. In the parabolic part, we use solution of the first boundary problem with appropriate Green's function, and in hyperbolic parts, we use corresponding solutions of the Cauchy problem. Copyright © 2016 John Wiley & Sons, Ltd.

Мавзулар

Differential Equations and Boundary Problems Fractional Differential Equations Solutions Nonlinear Differential Equations Analysis

Идентификаторлар

DOI: 10.1002/mma.4215

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