$A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions$

A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions

© 2015, Suantai et al.; licensee Springer. In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions. The existence and the uniqueness of the solut...

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Main Authors:	Suantai S., Ntouyas S., Asawasamrit S., Tariboon J.
Format:	Article
Published:	Springer Publishing Company 2015
Subjects:	Applied Mathematics Algebra and Number Theory Analysis
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928783147&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38945
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-389452015-06-16T07:54:39Z A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions Suantai S. Ntouyas S. Ntouyas S. Asawasamrit S. Tariboon J. Applied Mathematics Algebra and Number Theory Analysis © 2015, Suantai et al.; licensee Springer. In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions. The existence and the uniqueness of the solutions are established by using the Banach contraction principle, while the existence of solutions is derived by applying Leray-Schauder’s alternative. Examples illustrating our results are also presented. 2015-06-16T07:54:39Z 2015-06-16T07:54:39Z 2015-12-01 Article 16871839 2-s2.0-84928783147 10.1186/s13662-015-0462-2 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928783147&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38945 Springer Publishing Company
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Applied Mathematics Algebra and Number Theory Analysis
spellingShingle	Applied Mathematics Algebra and Number Theory Analysis Suantai S. Ntouyas S. Ntouyas S. Asawasamrit S. Tariboon J. A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions
description	© 2015, Suantai et al.; licensee Springer. In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions. The existence and the uniqueness of the solutions are established by using the Banach contraction principle, while the existence of solutions is derived by applying Leray-Schauder’s alternative. Examples illustrating our results are also presented.
format	Article
author	Suantai S. Ntouyas S. Ntouyas S. Asawasamrit S. Tariboon J.
author_facet	Suantai S. Ntouyas S. Ntouyas S. Asawasamrit S. Tariboon J.
author_sort	Suantai S.
title	A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions
title_short	A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions
title_full	A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions
title_fullStr	A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions
title_full_unstemmed	A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions
title_sort	coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions
publisher	Springer Publishing Company
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928783147&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38945
_version_	1681421565456023552

A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions

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