$Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions$

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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Main Authors:	Akbar Zada, Muhammad Yar, Tongxing Li
Format:	Article
Language:	deu
Published:	Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2019-01-01
Series:	Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Subjects:	Caputo fractional derivative Riemann–Liouville fractional integral coupled system existence uniqueness fixed point theorem Hyers–Ulam stability.
Online Access:	http://studmath.up.krakow.pl/index.php/studmath/article/view/293

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spelling	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
_version_	1725406931776962560

Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

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