The solution of certain triple q-integral equations in fractional q-calculus approach

The solution of certain triple q-integral equations in fractional q-calculus approach

In this paper, we consider a certain system of triple q-integral equations, where the kernel is the third Jackson q-Bessel functions. We give two solutions by using the fractional q-calculus approach. We study also the system with general kernel. A q-analogue of the result by Cooke and by Williams o...

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Main Author: M.A. AL-Towailb
Format: Article
Language:English
Published: Emerald Publishing 2019-01-01
Series:Arab Journal of Mathematical Sciences
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516617302256
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spelling doaj-c710f47298a84f4d8ff3482463704ec72021-05-02T17:10:55ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662019-01-012511728The solution of certain triple q-integral equations in fractional q-calculus approachM.A. AL-Towailb0Department of Natural and Engineering Science, Faculty of Applied Studies and Community Service, King Saud University, Riyadh, Saudi ArabiaIn this paper, we consider a certain system of triple q-integral equations, where the kernel is the third Jackson q-Bessel functions. We give two solutions by using the fractional q-calculus approach. We study also the system with general kernel. A q-analogue of the result by Cooke and by Williams of 1963 is included. Keywords: q-special functions, Fractional q-integral operator, Triple q-integral equations, Mathematics Subject Classification: primary, secondaryhttp://www.sciencedirect.com/science/article/pii/S1319516617302256
collection DOAJ
language English
format Article
sources DOAJ
author M.A. AL-Towailb
spellingShingle M.A. AL-Towailb
The solution of certain triple q-integral equations in fractional q-calculus approach
Arab Journal of Mathematical Sciences
author_facet M.A. AL-Towailb
author_sort M.A. AL-Towailb
title The solution of certain triple q-integral equations in fractional q-calculus approach
title_short The solution of certain triple q-integral equations in fractional q-calculus approach
title_full The solution of certain triple q-integral equations in fractional q-calculus approach
title_fullStr The solution of certain triple q-integral equations in fractional q-calculus approach
title_full_unstemmed The solution of certain triple q-integral equations in fractional q-calculus approach
title_sort solution of certain triple q-integral equations in fractional q-calculus approach
publisher Emerald Publishing
series Arab Journal of Mathematical Sciences
issn 1319-5166
publishDate 2019-01-01
description In this paper, we consider a certain system of triple q-integral equations, where the kernel is the third Jackson q-Bessel functions. We give two solutions by using the fractional q-calculus approach. We study also the system with general kernel. A q-analogue of the result by Cooke and by Williams of 1963 is included. Keywords: q-special functions, Fractional q-integral operator, Triple q-integral equations, Mathematics Subject Classification: primary, secondary
url http://www.sciencedirect.com/science/article/pii/S1319516617302256
work_keys_str_mv AT maaltowailb thesolutionofcertaintripleqintegralequationsinfractionalqcalculusapproach
AT maaltowailb solutionofcertaintripleqintegralequationsinfractionalqcalculusapproach
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