Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals

Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals

© 2018 by Eudoxus Press, LLC. All rights reserved. In this paper, we introduce a new class of coupled systems of boundary value problems for fractional differential equations which contains multiple orders of fractional derivatives and integrals, and discuss the existence and uniqueness of solutions...

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Main Authors: Suantai S., Ntouyas S., Tariboon J.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027369709&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/41187
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-411872017-09-28T04:18:45Z Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals Suantai S. Ntouyas S. Tariboon J. © 2018 by Eudoxus Press, LLC. All rights reserved. In this paper, we introduce a new class of coupled systems of boundary value problems for fractional differential equations which contains multiple orders of fractional derivatives and integrals, and discuss the existence and uniqueness of solutions. We apply Leray-Schauder’s alternative and Banach’s contraction mapping principle to obtain the desired results. Illustrative examples is also included. 2017-09-28T04:18:45Z 2017-09-28T04:18:45Z 2018-01-01 Journal 15211398 2-s2.0-85027369709 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027369709&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/41187
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description © 2018 by Eudoxus Press, LLC. All rights reserved. In this paper, we introduce a new class of coupled systems of boundary value problems for fractional differential equations which contains multiple orders of fractional derivatives and integrals, and discuss the existence and uniqueness of solutions. We apply Leray-Schauder’s alternative and Banach’s contraction mapping principle to obtain the desired results. Illustrative examples is also included.
format Journal
author Suantai S.
Ntouyas S.
Tariboon J.
spellingShingle Suantai S.
Ntouyas S.
Tariboon J.
Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals
author_facet Suantai S.
Ntouyas S.
Tariboon J.
author_sort Suantai S.
title Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals
title_short Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals
title_full Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals
title_fullStr Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals
title_full_unstemmed Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals
title_sort existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals
publishDate 2017
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027369709&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/41187
_version_ 1681421955868131328

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