Semianalytical solutions of some nonlinear-time fractional models using variational iteration Laplace transform method
type: Item
instance of: scholarly article
title: Semianalytical solutions of some nonlinear-time fractional models using variational iteration Laplace transform method
zbMATH Open document ID: 1479.35921
DOI: 10.1155/2021/8345682
author: Javed Iqbal
author: Khurram Shabbir
author: Liliana Guran
published in: Journal of Function Spaces
publication date: 2021-12-16T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A22
zbMATH DE Number: 7446744
zbMATH Keywords: variational iteration technique (VITM)
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/8345682
OpenAlex ID: W3214195115
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description: scientific article; zbMATH DE number 7446744