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
10.29252/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
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<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.
Hossinikomlaei
hosseini-k@azaruniv.edu
`10031947532846006442`

10031947532846006442
Yes
Department of Mathematics, Azarbaijan Shahid Madani University
M.
Jahanshahi
Jahanshahi@azaruniv.edu
`10031947532846006443`

10031947532846006443
No
Department of Mathematics, Azarbaijan Shahid Madani University
A.
Pashavand
apashavand@yahoo.com
`10031947532846006444`

10031947532846006444
No
Institute of Mathematics and Mechanics of NAS of Azarbijan
N.
Aliev
nihan@aliev.info
`10031947532846006445`

10031947532846006445
No
Institute of Mathematics and Mechanics of NAS of Azarbijan