On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions

On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions

This paper is related to the existence and uniqueness of solutions to a coupled system of fractional differential equations (FDEs) with nonlinear p-Laplacian operator by using fractional integral boundary conditions with nonlinear term and also to checking the Hyers-Ulam stability for the proposed p...

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Main Authors: Aziz Khan, Yongjin Li, Kamal Shah, Tahir Saeed Khan
Format: Article
Language:English
Published: Hindawi-Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/8197610
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spelling doaj-6b0fc39600744d0cbd5aa9b43b1e6dab2020-11-25T00:48:27ZengHindawi-WileyComplexity1076-27871099-05262017-01-01201710.1155/2017/81976108197610On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary ConditionsAziz Khan0Yongjin Li1Kamal Shah2Tahir Saeed Khan3Department of Mathematics, University of Peshawar, P.O. Box 25000, Khybar Pakhtunkhwa, PakistanDepartment of Mathematics, Sun Yat-Sen University, Guangzhou, ChinaDepartment of Mathematics, University of Malakand, Chakdara, Dir (L), Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Peshawar, P.O. Box 25000, Khybar Pakhtunkhwa, PakistanThis paper is related to the existence and uniqueness of solutions to a coupled system of fractional differential equations (FDEs) with nonlinear p-Laplacian operator by using fractional integral boundary conditions with nonlinear term and also to checking the Hyers-Ulam stability for the proposed problem. The functions involved in the proposed coupled system are continuous and satisfy certain growth conditions. By using topological degree theory some conditions are established which ensure the existence and uniqueness of solution to the proposed problem. Further, certain conditions are developed corresponding to Hyers-Ulam type stability for the positive solution of the considered coupled system of FDEs. Also, from applications point of view, we give an example.http://dx.doi.org/10.1155/2017/8197610
collection DOAJ
language English
format Article
sources DOAJ
author Aziz Khan
Yongjin Li
Kamal Shah
Tahir Saeed Khan
spellingShingle Aziz Khan
Yongjin Li
Kamal Shah
Tahir Saeed Khan
On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions
Complexity
author_facet Aziz Khan
Yongjin Li
Kamal Shah
Tahir Saeed Khan
author_sort Aziz Khan
title On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions
title_short On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions
title_full On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions
title_fullStr On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions
title_full_unstemmed On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions
title_sort on coupled p-laplacian fractional differential equations with nonlinear boundary conditions
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2017-01-01
description This paper is related to the existence and uniqueness of solutions to a coupled system of fractional differential equations (FDEs) with nonlinear p-Laplacian operator by using fractional integral boundary conditions with nonlinear term and also to checking the Hyers-Ulam stability for the proposed problem. The functions involved in the proposed coupled system are continuous and satisfy certain growth conditions. By using topological degree theory some conditions are established which ensure the existence and uniqueness of solution to the proposed problem. Further, certain conditions are developed corresponding to Hyers-Ulam type stability for the positive solution of the considered coupled system of FDEs. Also, from applications point of view, we give an example.
url http://dx.doi.org/10.1155/2017/8197610
work_keys_str_mv AT azizkhan oncoupledplaplacianfractionaldifferentialequationswithnonlinearboundaryconditions
AT yongjinli oncoupledplaplacianfractionaldifferentialequationswithnonlinearboundaryconditions
AT kamalshah oncoupledplaplacianfractionaldifferentialequationswithnonlinearboundaryconditions
AT tahirsaeedkhan oncoupledplaplacianfractionaldifferentialequationswithnonlinearboundaryconditions
_version_ 1725256016649519104

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