TY - JOUR JF - IJMSI JO - IJMSI VL - 14 IS - 2 PY - 2019 Y1 - 2019/10/01 TI - The Study ‎of ‎S‎ome Boundary Value Problems Including Fractional ‎Partial ‎Differential‎ Equations with non-Local Boundary Conditions TT - N2 - 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 peresented solutions for these problems are as infinite series. ‎Convergence‎ of series solutions and uniqueness of them are stablished by general theory of mathematical analysis and theory of ODEs. SP - 69 EP - 77 AU - Hosseini, R. AU - ‎Jahanshahi, M. AU - Pashavand, A.A. AU - Aliev, N. AD - Department of Mathematics, Azarbaijan Shahid Madani University, 35 Km Tabriz-Maraghe Road, Tabriz, Iran. KW - Mittag-Lefller function‎ KW - Fractional partial differential equation‎ KW - Non local boundary condition. UR - http://ijmsi.ir/article-1-1040-en.html ER -