New analytical technique for solving a system of nonlinear fractional partial differential equations
type: Item
instance of: scholarly article
title: New analytical technique for solving a system of nonlinear fractional partial differential equations
zbMATH Open document ID: 1395.65055
author: Y. Aharonov
published in: Mathematics
publication date: 2018-07-05T00:00:00Z
review text: Summary: This paper introduces a new analytical technique (NAT) for solving a system of nonlinear fractional partial differential equations (NFPDEs) in full general set. Moreover, the convergence and error analysis of the proposed technique is shown. The approximate solutions for a system of NFPDEs are easily obtained by means of Caputo fractional partial derivatives based on the properties of fractional calculus. However, analytical and numerical traveling wave solutions for some systems of nonlinear wave equations are successfully obtained to confirm the accuracy and efficiency of the proposed technique. Several numerical results are presented in the format of tables and graphs to make a comparison with results previously obtained by other well-known methods.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 6898676
zbMATH Keywords: system of nonlinear fractional partial differential equations (NFPDEs)
zbMATH Keywords: systems of nonlinear wave equations
zbMATH Keywords: new analytical technique (NAT)
zbMATH Keywords: existence theorem
zbMATH Keywords: error analysis
zbMATH Keywords: approximate solution
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: math5040047
OpenAlex ID: W2756965781
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DOI: 10.3390/MATH5040047
description: scientific article; zbMATH DE number 6898676