Preprint

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 -#R##N#KazakhstanNilufar A. RakhmatullaevaTashkent State Technical University; Universitet str., 2 Tashkent 100095 Uzbekistan

arXiv (Cornell University)repository2015en

ABI

Abstract

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.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Numerical methods in inverse problems

Identifiers

DOI: 10.48550/arxiv.1507.01366

Citations and references

Cited by 05 references

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