Title of article
The Study of Some Boundary Value Problems Including Fractional Partial Differential Equations with non-Local Boundary Conditions
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
Pages
9
From page
69
To page
77
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.
Keywords
non-Local boundary condition , Fractional partial differential equation , Mittag-Lefller function
Serial Year
2019
Record number
2494820
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