Author/Authors :
Hosseini, R Department of Mathematics - Azarbaijan Shahid Madani University, Tabriz, Iran , Jahanshahi, M Department of Mathematics - Azarbaijan Shahid Madani University, Tabriz, Iran , Pashavand, A.A Institute of Mathematics and Mechanics of NAS of Azarbijan, Baku, Azarbijan , Aliev, N Institute of Mathematics and Mechanics of NAS of Azarbijan, Baku, Azarbijan
Abstract :
In this paper, we consider some boundary value problems
(BVP) for fractional order partial differential equations (FPDE) with
non-local boundary conditions. The solutions of these problems are pre-
sented as series solutions analytically via modified Mittag-Leffler func-
tions. These functions have been modified by authors such that their
derivatives are invariant with respect to fractional derivative. The pre-
sented solutions for these problems are as infinite series. Convergence of
series solutions and uniqueness of them are established by general theory
of mathematical analysis and theory of ODEs.
