$Series solution to fractional contact problem using Caputo’s derivative$
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Series solution to fractional contact problem using Caputo’s derivative

In this article, contact problem with fractional derivatives is studied. We use fractional derivative in the sense of Caputo. We deploy penalty function method to degenerate the obstacle problem into a system of fractional boundary value problems (FBVPs). The series solution of this system of FBVPs...

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Autores principales:	Rafiq Muhammad, Noor Muhammad Aslam, Farwa Shabieh, Kamran Muhammad, Saeed Faisal, Gepreel Khaled A., Yao Shao-Wen, Ahmad Hijaz
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	fractional contact problem obstacle variational iteration method caputo’s fractional derivative Physics QC1-999
Acceso en línea:	https://doaj.org/article/ab36965deb664085bec2d93ec420e070
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spelling	oai:doaj.org-article:ab36965deb664085bec2d93ec420e0702021-12-05T14:11:02ZSeries solution to fractional contact problem using Caputo’s derivative2391-547110.1515/phys-2021-0046https://doaj.org/article/ab36965deb664085bec2d93ec420e0702021-07-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0046https://doaj.org/toc/2391-5471In this article, contact problem with fractional derivatives is studied. We use fractional derivative in the sense of Caputo. We deploy penalty function method to degenerate the obstacle problem into a system of fractional boundary value problems (FBVPs). The series solution of this system of FBVPs is acquired by using the variational iteration method (VIM). The performance as well as precision of the applied method is gauged by means of significant numerical tests. We further study the convergence and residual errors of the solutions by giving variation to the fractional parameter, and graphically present the solutions and residual errors accordingly. The outcomes thus obtained witness the high effectiveness of VIM for solving FBVPs.Rafiq MuhammadNoor Muhammad AslamFarwa ShabiehKamran MuhammadSaeed FaisalGepreel Khaled A.Yao Shao-WenAhmad HijazDe Gruyterarticlefractional contact problemobstaclevariational iteration methodcaputo’s fractional derivativePhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 402-412 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional contact problem obstacle variational iteration method caputo’s fractional derivative Physics QC1-999
spellingShingle	fractional contact problem obstacle variational iteration method caputo’s fractional derivative Physics QC1-999 Rafiq Muhammad Noor Muhammad Aslam Farwa Shabieh Kamran Muhammad Saeed Faisal Gepreel Khaled A. Yao Shao-Wen Ahmad Hijaz Series solution to fractional contact problem using Caputo’s derivative
description	In this article, contact problem with fractional derivatives is studied. We use fractional derivative in the sense of Caputo. We deploy penalty function method to degenerate the obstacle problem into a system of fractional boundary value problems (FBVPs). The series solution of this system of FBVPs is acquired by using the variational iteration method (VIM). The performance as well as precision of the applied method is gauged by means of significant numerical tests. We further study the convergence and residual errors of the solutions by giving variation to the fractional parameter, and graphically present the solutions and residual errors accordingly. The outcomes thus obtained witness the high effectiveness of VIM for solving FBVPs.
format	article
author	Rafiq Muhammad Noor Muhammad Aslam Farwa Shabieh Kamran Muhammad Saeed Faisal Gepreel Khaled A. Yao Shao-Wen Ahmad Hijaz
author_facet	Rafiq Muhammad Noor Muhammad Aslam Farwa Shabieh Kamran Muhammad Saeed Faisal Gepreel Khaled A. Yao Shao-Wen Ahmad Hijaz
author_sort	Rafiq Muhammad
title	Series solution to fractional contact problem using Caputo’s derivative
title_short	Series solution to fractional contact problem using Caputo’s derivative
title_full	Series solution to fractional contact problem using Caputo’s derivative
title_fullStr	Series solution to fractional contact problem using Caputo’s derivative
title_full_unstemmed	Series solution to fractional contact problem using Caputo’s derivative
title_sort	series solution to fractional contact problem using caputo’s derivative
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/ab36965deb664085bec2d93ec420e070
work_keys_str_mv	AT rafiqmuhammad seriessolutiontofractionalcontactproblemusingcaputosderivative AT noormuhammadaslam seriessolutiontofractionalcontactproblemusingcaputosderivative AT farwashabieh seriessolutiontofractionalcontactproblemusingcaputosderivative AT kamranmuhammad seriessolutiontofractionalcontactproblemusingcaputosderivative AT saeedfaisal seriessolutiontofractionalcontactproblemusingcaputosderivative AT gepreelkhaleda seriessolutiontofractionalcontactproblemusingcaputosderivative AT yaoshaowen seriessolutiontofractionalcontactproblemusingcaputosderivative AT ahmadhijaz seriessolutiontofractionalcontactproblemusingcaputosderivative
_version_	1718371492467572736

Series solution to fractional contact problem using Caputo’s derivative

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