مشخصات پژوهش

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.