Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators

Abstract

In this paper the existence and the uniqueness of solution of non-local problem with integral gluing condition for mixed type equation are investigated. Considering loaded parabolichyperbolic equation involve the Caputo fractional derivative and Erdelyi-Kober integrals. The uniqueness of solution is proved by the method of integral energy and the existence is proved by the method of integral equations.

Identifiers

DOI

10.7153/fdc-2017-07-18

Citations and references