Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1398
7
1
gregorian
2019
10
1
14
2
online
1
fulltext
en
The Study of Some Boundary Value Problems Including Fractional Partial Differential Equations with non-Local Boundary Conditions
عمومى
General
پژوهشي
Research paper
<br>
<p dir="RTL"></p>
<p>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.</p>
Mittag-Lefller function, Fractional partial differential equation, Non local boundary condition.
69
77
http://ijmsi.ir/browse.php?a_code=A-10-2506-1&slc_lang=en&sid=1
R.
Hosseini
hosseini-k@azaruniv.edu
`10031947532846007668`

10031947532846007668
Yes
Department of Mathematics, Azarbaijan Shahid Madani University, 35 Km Tabriz-Maraghe Road, Tabriz, Iran.
M.
Jahanshahi
Jahanshahi@azaruniv.edu
`10031947532846007669`

10031947532846007669
No
Department of Mathematics, Azarbaijan Shahid Madani University, 35 Km Tabriz-Maraghe Road, Tabriz, Iran.
A.A.
Pashavand
apashavand@yahoo.com
`10031947532846007670`

10031947532846007670
No
Institute of Mathematics and Mechanics of NAS of Azarbijan, Baku, Azarbijan.
N.
Aliev
nihan@aliev.info
`10031947532846007671`

10031947532846007671
No
Institute of Mathematics and Mechanics of NAS of Azarbijan, Baku, Azarbijan.