Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method

In this work, we combined two techniques, the variational iteration technique and the Laplace transform method, in order to solve some nonlinear-time fractional partial differential equations. Although the exact solutions may exist, we introduced the technique VITM that approximates the solutions th...

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Autores principales:	Javed Iqbal, Khurram Shabbir, Liliana Guran
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/5b51f01ec632437aa29e6e616929357b
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spelling	oai:doaj.org-article:5b51f01ec632437aa29e6e616929357b2021-11-22T01:10:09ZSemianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method2314-888810.1155/2021/8345682https://doaj.org/article/5b51f01ec632437aa29e6e616929357b2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8345682https://doaj.org/toc/2314-8888In this work, we combined two techniques, the variational iteration technique and the Laplace transform method, in order to solve some nonlinear-time fractional partial differential equations. Although the exact solutions may exist, we introduced the technique VITM that approximates the solutions that are difficult to find. Even a single iteration best approximates the exact solutions. The fractional derivatives being used are in the Caputo-Fabrizio sense. The reliability and efficiency of this newly introduced method is discussed in details from its numerical results and their graphical approximations. Moreover, possible consequences of these results as an application of fixed-point theorem are placed before the experts as an open problem.Javed IqbalKhurram ShabbirLiliana GuranHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Javed Iqbal Khurram Shabbir Liliana Guran Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method
description	In this work, we combined two techniques, the variational iteration technique and the Laplace transform method, in order to solve some nonlinear-time fractional partial differential equations. Although the exact solutions may exist, we introduced the technique VITM that approximates the solutions that are difficult to find. Even a single iteration best approximates the exact solutions. The fractional derivatives being used are in the Caputo-Fabrizio sense. The reliability and efficiency of this newly introduced method is discussed in details from its numerical results and their graphical approximations. Moreover, possible consequences of these results as an application of fixed-point theorem are placed before the experts as an open problem.
format	article
author	Javed Iqbal Khurram Shabbir Liliana Guran
author_facet	Javed Iqbal Khurram Shabbir Liliana Guran
author_sort	Javed Iqbal
title	Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method
title_short	Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method
title_full	Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method
title_fullStr	Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method
title_full_unstemmed	Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method
title_sort	semianalytical solutions of some nonlinear-time fractional models using variational iteration laplace transform method
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/5b51f01ec632437aa29e6e616929357b
work_keys_str_mv	AT javediqbal semianalyticalsolutionsofsomenonlineartimefractionalmodelsusingvariationaliterationlaplacetransformmethod AT khurramshabbir semianalyticalsolutionsofsomenonlineartimefractionalmodelsusingvariationaliterationlaplacetransformmethod AT lilianaguran semianalyticalsolutionsofsomenonlineartimefractionalmodelsusingvariationaliterationlaplacetransformmethod
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Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method

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