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: Suthep Suantai, S. K. Ntouyas, Jessada Tariboon
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/58838
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-588382018-09-05T04:33:36Z Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals Suthep Suantai S. K. Ntouyas Jessada Tariboon Mathematics © 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. 2018-09-05T04:33:36Z 2018-09-05T04:33:36Z 2018-01-01 Journal 15729206 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/6653943832/58838
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Suthep Suantai
S. K. Ntouyas
Jessada Tariboon
Existence results for a coupled system of fractional differential equations with multiple orders of fractional derivatives and integrals
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 Suthep Suantai
S. K. Ntouyas
Jessada Tariboon
author_facet Suthep Suantai
S. K. Ntouyas
Jessada Tariboon
author_sort Suthep Suantai
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 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027369709&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/58838
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