The Study of Some Boundary Value Problems Including Fractional Partial Differential Equations with non-Local Boundary Conditions.

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 presented as series solutions analytically via modified Mittag-Leffler functions. These functions have been modified by authors such that their derivatives are invariant with respect to fractional derivative. The presented 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. [ABSTRACT FROM AUTHOR]