AU - Hossinikomlaei, R.
AU - Jahanshahi, M.
AU - Pashavand, 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