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Title
The Study of Some Boundary Value Problems Including Fractional Partial Differential Equations with non-Local Boundary Conditions
Type of Research Article
Keywords
Mittag-Lefller function, Fractional partial differential equation, non-Local boundary condition.
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.
Researchers (First Researcher)، Mohammad Jahanshahi (Second Researcher)، Ahmad Pashavand (Third Researcher)، Nihan Aliyev (Fourth Researcher)