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

Autor:	Karimov, E. T., Berdyshev, A. S., Rakhmatullaeva, N. A.
Rok vydání:	2015
Předmět:	Mathematics - Analysis of PDEs 35m10
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.01366 Zobrazit plný text záznamu View this record from Arxiv