Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method

Author:

Razzaq Waseem1,Habib Mustafa2,Nadeem Muhammad3ORCID,Zafar Asim4,Khan Ilyas5ORCID,Mwanakatwea Patrick Kandege6ORCID

Affiliation:

1. Math Center, House No 87 Rahmanyia Colony, Vehari, Pakistan

2. Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan

3. Faculty of Science, Yibin University, Yibin 644000, China

4. Department of Mathematics, Vehari Campus, Multan, Pakistan

5. Department of Mathematics, Al-Zulfi, Majmmah University, Al-Majmmah 11952, Saudi Arabia

6. Eastern Africa Statistical Training Center, Dar es Salaam, Tanzania

Abstract

This study presents a modified simplest equation method (MSEM) to investigate some real and exact solutions of conformable time fractional Benjamin-Bona-Mahony (BBM) equation and Chan-Hilliard (CH) equation. We use traveling wave transformation to obtain the results in the form of series solution. Some calculations are performed through Mathematica software to analyze the accuracy of this approach. Graphical representations are reported for more significant results at different fractional-order which demonstrates that this approach is very simple, adequate, and legitimate.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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