An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential Equations
The phenomena, molecular path in a liquid or a gas, fluctuating price stoke, fission and fusion, quantum field theory, relativistic wave motion, etc., are modeled through the nonlinear time fractional clannish random Walker’s parabolic (CRWP) equation, nonlinear time fractional SharmaTassoOlver (STO...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/7967328 |
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| author | Altaf A. Al-Shawba Farah A. Abdullah Amirah Azmi M. Ali Akbar |
| author_facet | Altaf A. Al-Shawba Farah A. Abdullah Amirah Azmi M. Ali Akbar |
| author_sort | Altaf A. Al-Shawba |
| collection | DOAJ |
| description | The phenomena, molecular path in a liquid or a gas, fluctuating price stoke, fission and fusion, quantum field theory, relativistic wave motion, etc., are modeled through the nonlinear time fractional clannish random Walker’s parabolic (CRWP) equation, nonlinear time fractional SharmaTassoOlver (STO) equation, and the nonlinear space-time fractional KleinGordon equation. The fractional derivative is described in the sense of conformable derivative. From there, the G′/G, 1/G-expansion method is found to be ensuing, effective, and capable to provide functional solutions to nonlinear models concerning physical and engineering problems. In this study, an extension of the G′/G, 1/G-expansion method has been introduced. This enhancement establishes broad-ranging and adequate fresh solutions. In addition, some existing solutions attainable in the literature also confirm the validity of the suggested extension. We believe that the extension might be added to the literature as a reliable and efficient technique to examine a wide variety of nonlinear fractional systems with parameters including solitary and periodic wave solutions to nonlinear FDEs. |
| format | Article |
| id | doaj-art-50c5e7256f2441bd80c2fc41831a20fb |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-50c5e7256f2441bd80c2fc41831a20fb2025-02-03T06:46:29ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/79673287967328An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential EquationsAltaf A. Al-Shawba0Farah A. Abdullah1Amirah Azmi2M. Ali Akbar3School of Mathematical Sciences, Universiti Sains Malaysia, Penang, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, Penang, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, Penang, MalaysiaDepartment of Applied Mathematics, University of Rajshahi, Rajshahi, BangladeshThe phenomena, molecular path in a liquid or a gas, fluctuating price stoke, fission and fusion, quantum field theory, relativistic wave motion, etc., are modeled through the nonlinear time fractional clannish random Walker’s parabolic (CRWP) equation, nonlinear time fractional SharmaTassoOlver (STO) equation, and the nonlinear space-time fractional KleinGordon equation. The fractional derivative is described in the sense of conformable derivative. From there, the G′/G, 1/G-expansion method is found to be ensuing, effective, and capable to provide functional solutions to nonlinear models concerning physical and engineering problems. In this study, an extension of the G′/G, 1/G-expansion method has been introduced. This enhancement establishes broad-ranging and adequate fresh solutions. In addition, some existing solutions attainable in the literature also confirm the validity of the suggested extension. We believe that the extension might be added to the literature as a reliable and efficient technique to examine a wide variety of nonlinear fractional systems with parameters including solitary and periodic wave solutions to nonlinear FDEs.http://dx.doi.org/10.1155/2020/7967328 |
| spellingShingle | Altaf A. Al-Shawba Farah A. Abdullah Amirah Azmi M. Ali Akbar An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential Equations Complexity |
| title | An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential Equations |
| title_full | An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential Equations |
| title_fullStr | An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential Equations |
| title_full_unstemmed | An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential Equations |
| title_short | An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential Equations |
| title_sort | extension of the double g g 1 g expansion method for conformable fractional differential equations |
| url | http://dx.doi.org/10.1155/2020/7967328 |
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