Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator

In this paper, we consider a generalized Caputo boundary value problem of fractional differential equation with composite p-Laplacian operator. Boundary value conditions of this problem are of three-point integral type. First, we obtain Green’s function in relation to the proposed fractional boundar...

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Autores principales:	Sh. Rezapour, S. T. M. Thabet, M. M. Matar, J. Alzabut, S. Etemad
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/13721f83749f4df18e14f40471f2362b
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spelling	oai:doaj.org-article:13721f83749f4df18e14f40471f2362b2021-11-08T02:35:21ZSome Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator2314-888810.1155/2021/9554076https://doaj.org/article/13721f83749f4df18e14f40471f2362b2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9554076https://doaj.org/toc/2314-8888In this paper, we consider a generalized Caputo boundary value problem of fractional differential equation with composite p-Laplacian operator. Boundary value conditions of this problem are of three-point integral type. First, we obtain Green’s function in relation to the proposed fractional boundary value problem and then for establishing the existence and uniqueness results, we use topological degree theory and Banach contraction principle. Further, we consider a stability analysis of Ulam-Hyers and Ulam-Hyers-Rassias type. To examine the validity of theoretical results, we provide an illustrative example.Sh. RezapourS. T. M. ThabetM. M. MatarJ. AlzabutS. EtemadHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Sh. Rezapour S. T. M. Thabet M. M. Matar J. Alzabut S. Etemad Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator
description	In this paper, we consider a generalized Caputo boundary value problem of fractional differential equation with composite p-Laplacian operator. Boundary value conditions of this problem are of three-point integral type. First, we obtain Green’s function in relation to the proposed fractional boundary value problem and then for establishing the existence and uniqueness results, we use topological degree theory and Banach contraction principle. Further, we consider a stability analysis of Ulam-Hyers and Ulam-Hyers-Rassias type. To examine the validity of theoretical results, we provide an illustrative example.
format	article
author	Sh. Rezapour S. T. M. Thabet M. M. Matar J. Alzabut S. Etemad
author_facet	Sh. Rezapour S. T. M. Thabet M. M. Matar J. Alzabut S. Etemad
author_sort	Sh. Rezapour
title	Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator
title_short	Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator
title_full	Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator
title_fullStr	Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator
title_full_unstemmed	Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator
title_sort	some existence and stability criteria to a generalized fbvp having fractional composite p-laplacian operator
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/13721f83749f4df18e14f40471f2362b
work_keys_str_mv	AT shrezapour someexistenceandstabilitycriteriatoageneralizedfbvphavingfractionalcompositeplaplacianoperator AT stmthabet someexistenceandstabilitycriteriatoageneralizedfbvphavingfractionalcompositeplaplacianoperator AT mmmatar someexistenceandstabilitycriteriatoageneralizedfbvphavingfractionalcompositeplaplacianoperator AT jalzabut someexistenceandstabilitycriteriatoageneralizedfbvphavingfractionalcompositeplaplacianoperator AT setemad someexistenceandstabilitycriteriatoageneralizedfbvphavingfractionalcompositeplaplacianoperator
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Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite p-Laplacian Operator

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