Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques
In this article, we acquire a variety of new exact traveling wave solutions in the form of trigonometric, hyperbolic, and rational functions for the nonlinear time-fractional Clannish Random Walker’s Parabolic (CRWP) equation in the sense of beta-derivative by employing the two modified methods, nam...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1680560 |
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| author | Imran Siddique Khush Bukht Mehdi M. Ali Akbar Hamiden Abd El-Wahed Khalifa Asim Zafar |
| author_facet | Imran Siddique Khush Bukht Mehdi M. Ali Akbar Hamiden Abd El-Wahed Khalifa Asim Zafar |
| author_sort | Imran Siddique |
| collection | DOAJ |
| description | In this article, we acquire a variety of new exact traveling wave solutions in the form of trigonometric, hyperbolic, and rational functions for the nonlinear time-fractional Clannish Random Walker’s Parabolic (CRWP) equation in the sense of beta-derivative by employing the two modified methods, namely, modified G′/G2− expansion method and modified F− expansion method. The obtained solutions are verified for aforesaid equations through symbolic soft computations. To promote the essential propagated features, some investigated solutions are exhibited in the form of 2D and 3D graphics by passing on the precise values to the parameters under the constrain conditions. The obtained solutions show that the presented methods are effective, straight forward, and reliable as compared to other methods. These methods can also be used to extract the novel exact traveling wave solutions for solving any types of integer and fractional differential equations arising in mathematical physics. |
| format | Article |
| id | doaj-art-a89e67ba0c4647409bbc54b5d5850d04 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a89e67ba0c4647409bbc54b5d5850d042025-02-03T05:57:54ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1680560Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel TechniquesImran Siddique0Khush Bukht Mehdi1M. Ali Akbar2Hamiden Abd El-Wahed Khalifa3Asim Zafar4Department of MathematicsDepartment of MathematicsDepartment of Applied MathematicsDepartment of Operations ResearchDepartment of MathematicsIn this article, we acquire a variety of new exact traveling wave solutions in the form of trigonometric, hyperbolic, and rational functions for the nonlinear time-fractional Clannish Random Walker’s Parabolic (CRWP) equation in the sense of beta-derivative by employing the two modified methods, namely, modified G′/G2− expansion method and modified F− expansion method. The obtained solutions are verified for aforesaid equations through symbolic soft computations. To promote the essential propagated features, some investigated solutions are exhibited in the form of 2D and 3D graphics by passing on the precise values to the parameters under the constrain conditions. The obtained solutions show that the presented methods are effective, straight forward, and reliable as compared to other methods. These methods can also be used to extract the novel exact traveling wave solutions for solving any types of integer and fractional differential equations arising in mathematical physics.http://dx.doi.org/10.1155/2022/1680560 |
| spellingShingle | Imran Siddique Khush Bukht Mehdi M. Ali Akbar Hamiden Abd El-Wahed Khalifa Asim Zafar Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques Journal of Function Spaces |
| title | Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques |
| title_full | Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques |
| title_fullStr | Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques |
| title_full_unstemmed | Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques |
| title_short | Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques |
| title_sort | diverse exact soliton solutions of the time fractional clannish random walker s parabolic equation via dual novel techniques |
| url | http://dx.doi.org/10.1155/2022/1680560 |
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