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Abstract
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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.
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