Non-local initial problem for second order time-fractional and space-singular equation

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Title: Non-local initial problem for second order time-fractional and space-singular equation
Authors: Ruzhansky, M
Karimov, E
Mamchuev, M
Item Type: Journal Article
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.
Date of Acceptance: 5-Jun-2017
ISSN: 1553-5258
Publisher: American Institute of Mathematical Sciences (AIMS)
Journal / Book Title: Communications on Pure and Applied Analysis
Copyright Statement: This paper is embargoed until publication. Once published it will be available fully open access.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Funder's Grant Number: EP/K039407/1
Keywords: 0101 Pure Mathematics
0102 Applied Mathematics
Publication Status: Accepted
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences

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