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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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 |
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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 |
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© 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. |
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Suthep Suantai S. K. Ntouyas Jessada Tariboon |
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Suthep Suantai S. K. Ntouyas Jessada Tariboon |
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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 |
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2018 |
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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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