Non-local initial problem for second order time-fractional and space-singular equation
File(s)
Accepted version
Author(s)
Ruzhansky, M
Karimov, E
Mamchuev, M
Type
Working Paper
Abstract
In this work, we consider an initial problem for second order partial
differential equations with Caputo fractional derivatives in the time-variable and
Bessel operator in the space-variable. For non-local boundary conditions, we present
a solution of this problem in an explicit form representing it by the Fourier-Bessel
series. The obtained solution is written in terms of multinomial Mittag-Leffler
functions and first kind Bessel functions.
differential equations with Caputo fractional derivatives in the time-variable and
Bessel operator in the space-variable. For non-local boundary conditions, we present
a solution of this problem in an explicit form representing it by the Fourier-Bessel
series. The obtained solution is written in terms of multinomial Mittag-Leffler
functions and first kind Bessel functions.
Date Issued
2017-01-08
Citation
2017
ISSN
0018-3482
Publisher
arXiv
Copyright Statement
© 2017 The Author(s).
Sponsor
The Leverhulme Trust
Engineering & Physical Science Research Council (EPSRC)
Identifier
https://arxiv.org/abs/1701.01904v1
Grant Number
RPG-2014-002
EP/K039407/1
Subjects
math.AP
math.AP
35R11, 33E12
0101 Pure Mathematics
Publication Status
Published