Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions
In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann–Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while th...
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Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
2019-01-01
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Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
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Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/293 |
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doaj-c9ec48bdd407406584196d79b65aade12020-11-25T00:10:48ZdeuWydawnictwo Naukowe Uniwersytetu PedagogicznegoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 2081-545X2300-133X2019-01-011710312510.2478/aupcsm-2018-0009Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditionsAkbar Zada 0Muhammad Yar1Tongxing Li2Department of Mathematics University of Peshawar, Peshawar, PakistanDepartment of Mathematics University of Peshawar, Peshawar, PakistanLinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing and School of Information Science and Engineering Linyi University Linyi Shandong, China In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann–Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while the existence of solutions is derived by Leray–Schauder’s alternative. We also study the Hyers–Ulam stability of mentioned system. At the end, examples are also presented which illustrate our results.http://studmath.up.krakow.pl/index.php/studmath/article/view/293Caputo fractional derivativeRiemann–Liouville fractional integralcoupled systemexistenceuniquenessfixed point theoremHyers–Ulam stability. |
collection |
DOAJ |
language |
deu |
format |
Article |
sources |
DOAJ |
author |
Akbar Zada Muhammad Yar Tongxing Li |
spellingShingle |
Akbar Zada Muhammad Yar Tongxing Li Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica Caputo fractional derivative Riemann–Liouville fractional integral coupled system existence uniqueness fixed point theorem Hyers–Ulam stability. |
author_facet |
Akbar Zada Muhammad Yar Tongxing Li |
author_sort |
Akbar Zada |
title |
Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions |
title_short |
Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions |
title_full |
Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions |
title_fullStr |
Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions |
title_full_unstemmed |
Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions |
title_sort |
existence and stability analysis of nonlinear sequential coupled system of caputo fractional differential equations with integral boundary conditions |
publisher |
Wydawnictwo Naukowe Uniwersytetu Pedagogicznego |
series |
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
issn |
2081-545X 2300-133X |
publishDate |
2019-01-01 |
description |
In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann–Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while the existence of solutions is derived by Leray–Schauder’s alternative. We also study the Hyers–Ulam stability of mentioned system. At the end, examples are also presented which illustrate our results. |
topic |
Caputo fractional derivative Riemann–Liouville fractional integral coupled system existence uniqueness fixed point theorem Hyers–Ulam stability. |
url |
http://studmath.up.krakow.pl/index.php/studmath/article/view/293 |
work_keys_str_mv |
AT akbarzada existenceandstabilityanalysisofnonlinearsequentialcoupledsystemofcaputofractionaldifferentialequationswithintegralboundaryconditions AT muhammadyar existenceandstabilityanalysisofnonlinearsequentialcoupledsystemofcaputofractionaldifferentialequationswithintegralboundaryconditions AT tongxingli existenceandstabilityanalysisofnonlinearsequentialcoupledsystemofcaputofractionaldifferentialequationswithintegralboundaryconditions |
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1725406931776962560 |