Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition

The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem with the conformable derivatives in the Caput...

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Autores principales:	Zhongqi Peng, Yuan Li, Qi Zhang, Yimin Xue
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi-Wiley 2021
Materias:	Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/be86aebda00d429aa6dffcb7be614afc
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spelling	oai:doaj.org-article:be86aebda00d429aa6dffcb7be614afc2021-11-08T02:37:19ZExtremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition1099-052610.1155/2021/1097505https://doaj.org/article/be86aebda00d429aa6dffcb7be614afc2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1097505https://doaj.org/toc/1099-0526The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem with the conformable derivatives in the Caputo setting, respectively. We also establish two comparison principles and prove the extremal solutions for nonlinear fractional p-Laplacian differential system with Caputo conformable derivatives by utilizing the monotone iterative technique. An example is given to verify the validity of the results.Zhongqi PengYuan LiQi ZhangYimin XueHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Electronic computers. Computer science QA75.5-76.95
spellingShingle	Electronic computers. Computer science QA75.5-76.95 Zhongqi Peng Yuan Li Qi Zhang Yimin Xue Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition
description	The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem with the conformable derivatives in the Caputo setting, respectively. We also establish two comparison principles and prove the extremal solutions for nonlinear fractional p-Laplacian differential system with Caputo conformable derivatives by utilizing the monotone iterative technique. An example is given to verify the validity of the results.
format	article
author	Zhongqi Peng Yuan Li Qi Zhang Yimin Xue
author_facet	Zhongqi Peng Yuan Li Qi Zhang Yimin Xue
author_sort	Zhongqi Peng
title	Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition
title_short	Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition
title_full	Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition
title_fullStr	Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition
title_full_unstemmed	Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition
title_sort	extremal solutions for caputo conformable differential equations with p-laplacian operator and integral boundary condition
publisher	Hindawi-Wiley
publishDate	2021
url	https://doaj.org/article/be86aebda00d429aa6dffcb7be614afc
work_keys_str_mv	AT zhongqipeng extremalsolutionsforcaputoconformabledifferentialequationswithplaplacianoperatorandintegralboundarycondition AT yuanli extremalsolutionsforcaputoconformabledifferentialequationswithplaplacianoperatorandintegralboundarycondition AT qizhang extremalsolutionsforcaputoconformabledifferentialequationswithplaplacianoperatorandintegralboundarycondition AT yiminxue extremalsolutionsforcaputoconformabledifferentialequationswithplaplacianoperatorandintegralboundarycondition
_version_	1718443034966753280

Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition

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