Ali, Umair and Mastoi, Sanaullah and Mior Othman, Wan Ainun and Khater, Mostafa M. A. and Sohail, Muhammad (2021) Computation of traveling wave solution for nonlinear variableorder fractional model of modified equal width equation. Aims Mathematics, 6 (9). pp. 1005510069. ISSN 24736988, DOI https://doi.org/10.3934/math.2021584.

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Abstract
The Variableorder fractional operators (VOFO) have considered mathematically formalized recently. The opportunity of verbalizing evolutionary leading equations has led to the effective application to the modeling of composite physical problems ranging from mechanics to transport processes, to control theory, to biology. In this paper, find the closed form traveling wave solutions for nonlinear variableorder fractional evolution equations reveal in all fields of sciences and engineering. The variableorder evolution equation is an impressive mathematical model describes the complex dynamical problems. Here, we discuss spacetime variableorder fractional modified equal width equation (MEWE) and used exp(phi(xi)) method in the sense of Caputo fractionalorder derivative. Based on variable order derivative and traveling wave transformation convert equation into nonlinear ordinary differential equation (ODE). As a result, constructed new exact solutions for nonlinear spacetime variableorder fractional MEWE. It clearly shows that the nonlinear variableorder evolution equations are somewhat natural and efficient in mathematical physics.
Item Type:  Article 

Funders:  Higher Education Commission (HEC) Startup Research Grant Program (SRGP) (322/IPFPII(BatchI)/SRGP/NAHE/HEC/2020/126) 
Uncontrolled Keywords:  Spacetime fractional modified equal width equation; Caputo derivative of fractional order; Exp(phi(xi)) method 
Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Science 
Depositing User:  Ms Zaharah Ramly 
Date Deposited:  31 Mar 2022 08:29 
Last Modified:  31 Mar 2022 08:30 
URI:  http://eprints.um.edu.my/id/eprint/27850 
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