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

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. S...

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Main Authors: Waseem Razzaq, Mustafa Habib, Muhammad Nadeem, Asim Zafar, Ilyas Khan, Patrick Kandege Mwanakatwea
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2022/8705388
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author Waseem Razzaq
Mustafa Habib
Muhammad Nadeem
Asim Zafar
Ilyas Khan
Patrick Kandege Mwanakatwea
author_facet Waseem Razzaq
Mustafa Habib
Muhammad Nadeem
Asim Zafar
Ilyas Khan
Patrick Kandege Mwanakatwea
author_sort Waseem Razzaq
collection DOAJ
description 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.
format Article
id doaj-art-0a1d9bb27154439fafb249ca5e21eb45
institution Kabale University
issn 1099-0526
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-0a1d9bb27154439fafb249ca5e21eb452025-02-03T06:04:59ZengWileyComplexity1099-05262022-01-01202210.1155/2022/8705388Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation MethodWaseem Razzaq0Mustafa Habib1Muhammad Nadeem2Asim Zafar3Ilyas Khan4Patrick Kandege Mwanakatwea5Math CenterDepartment of MathematicsFaculty of ScienceDepartment of MathematicsDepartment of MathematicsEastern Africa Statistical Training CenterThis 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.http://dx.doi.org/10.1155/2022/8705388
spellingShingle Waseem Razzaq
Mustafa Habib
Muhammad Nadeem
Asim Zafar
Ilyas Khan
Patrick Kandege Mwanakatwea
Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method
Complexity
title Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method
title_full Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method
title_fullStr Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method
title_full_unstemmed Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method
title_short Solitary Wave Solutions of Conformable Time Fractional Equations Using Modified Simplest Equation Method
title_sort solitary wave solutions of conformable time fractional equations using modified simplest equation method
url http://dx.doi.org/10.1155/2022/8705388
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