AU - Hosseini, R. AU - ‎Jahanshahi, M. AU - Pashavand, A.A. AU - Aliev, N. TI - The Study ‎of ‎S‎ome Boundary Value Problems Including Fractional ‎Partial ‎Differential‎ Equations with non-Local Boundary Conditions PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 14 VI - 2 IP - 2 4099 - http://ijmsi.ir/article-1-1040-en.html 4100 - http://ijmsi.ir/article-1-1040-en.pdf SO - IJMSI 2 AB  - 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. CP - IRAN IN - Department of‎ ‎Mathematics‎, ‎Azarbaijan Shahid Madani University‎, ‎35 Km Tabriz-Maraghe Road‎, ‎Tabriz‎, ‎Iran LG - eng PB - IJMSI PG - 69 PT - Research paper YR - 2019