Compatible extension of the (G′/G)-expansion approach for equations with conformable derivative
In this study, the compatible extensions of the (G′/G)-expansion approach and the generalized (G′/G)-expansion scheme are proposed to generate scores of radical closed-form solutions of nonlinear fractional evolution equations. The originality and improvements of the extensions are confirmed by thei...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-05-01
|
| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023029249 |
| _version_ | 1797815683715694592 |
|---|---|
| author | Altaf A. Al-Shawba Farah A. Abdullah Amirah Azmi M. Ali Akbar Kottakkaran Sooppy Nisar |
| author_facet | Altaf A. Al-Shawba Farah A. Abdullah Amirah Azmi M. Ali Akbar Kottakkaran Sooppy Nisar |
| author_sort | Altaf A. Al-Shawba |
| collection | DOAJ |
| description | In this study, the compatible extensions of the (G′/G)-expansion approach and the generalized (G′/G)-expansion scheme are proposed to generate scores of radical closed-form solutions of nonlinear fractional evolution equations. The originality and improvements of the extensions are confirmed by their application to the fractional space-time paired Burgers equations. The application of the proposed extensions highlights their effectiveness by providing dissimilar solutions for assorted physical forms in nonlinear science. In order to explain some of the wave solutions geometrically, we represent them as two- and three-dimensional graphs. The results demonstrate that the techniques presented in this study are effective and straightforward ways to address a variety of equations in mathematical physics with conformable derivative. |
| first_indexed | 2024-03-13T08:26:25Z |
| format | Article |
| id | doaj.art-ffc3931f5b554d2a82635b017b34e0a1 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-13T08:26:25Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-ffc3931f5b554d2a82635b017b34e0a12023-05-31T04:45:16ZengElsevierHeliyon2405-84402023-05-0195e15717Compatible extension of the (G′/G)-expansion approach for equations with conformable derivativeAltaf A. Al-Shawba0Farah A. Abdullah1Amirah Azmi2M. Ali Akbar3Kottakkaran Sooppy Nisar4School of Mathematical Sciences, Universiti Sains Malaysia, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, MalaysiaDepartment of Applied Mathematics, University of Rajshahi, BangladeshDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia; School of Technology, Woxsen University, Hyderabad, 502345, Telangana State, India; Corresponding author. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia.In this study, the compatible extensions of the (G′/G)-expansion approach and the generalized (G′/G)-expansion scheme are proposed to generate scores of radical closed-form solutions of nonlinear fractional evolution equations. The originality and improvements of the extensions are confirmed by their application to the fractional space-time paired Burgers equations. The application of the proposed extensions highlights their effectiveness by providing dissimilar solutions for assorted physical forms in nonlinear science. In order to explain some of the wave solutions geometrically, we represent them as two- and three-dimensional graphs. The results demonstrate that the techniques presented in this study are effective and straightforward ways to address a variety of equations in mathematical physics with conformable derivative.http://www.sciencedirect.com/science/article/pii/S2405844023029249Fractional coupled burgers equationsFractional derivative(G’/G)-Expansion approachSoliton solutions |
| spellingShingle | Altaf A. Al-Shawba Farah A. Abdullah Amirah Azmi M. Ali Akbar Kottakkaran Sooppy Nisar Compatible extension of the (G′/G)-expansion approach for equations with conformable derivative Heliyon Fractional coupled burgers equations Fractional derivative (G’/G)-Expansion approach Soliton solutions |
| title | Compatible extension of the (G′/G)-expansion approach for equations with conformable derivative |
| title_full | Compatible extension of the (G′/G)-expansion approach for equations with conformable derivative |
| title_fullStr | Compatible extension of the (G′/G)-expansion approach for equations with conformable derivative |
| title_full_unstemmed | Compatible extension of the (G′/G)-expansion approach for equations with conformable derivative |
| title_short | Compatible extension of the (G′/G)-expansion approach for equations with conformable derivative |
| title_sort | compatible extension of the g g expansion approach for equations with conformable derivative |
| topic | Fractional coupled burgers equations Fractional derivative (G’/G)-Expansion approach Soliton solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023029249 |
| work_keys_str_mv | AT altafaalshawba compatibleextensionoftheggexpansionapproachforequationswithconformablederivative AT farahaabdullah compatibleextensionoftheggexpansionapproachforequationswithconformablederivative AT amirahazmi compatibleextensionoftheggexpansionapproachforequationswithconformablederivative AT maliakbar compatibleextensionoftheggexpansionapproachforequationswithconformablederivative AT kottakkaransooppynisar compatibleextensionoftheggexpansionapproachforequationswithconformablederivative |