Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches
In this paper, we obtain the exact traveling solutions of the M-fractional generalized reaction Duffing model and density dependent M-fractional diffusion reaction equation by using three fertile, G′/G,1/G, modified G′/G2 and 1/G′-expansion methods. These methods contribute a variety of exact travel...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-09-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721006598 |
| _version_ | 1818719919619964928 |
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| author | Imran Siddique Mohammed M.M. Jaradat Asim Zafar Khush Bukht Mehdi M.S. Osman |
| author_facet | Imran Siddique Mohammed M.M. Jaradat Asim Zafar Khush Bukht Mehdi M.S. Osman |
| author_sort | Imran Siddique |
| collection | DOAJ |
| description | In this paper, we obtain the exact traveling solutions of the M-fractional generalized reaction Duffing model and density dependent M-fractional diffusion reaction equation by using three fertile, G′/G,1/G, modified G′/G2 and 1/G′-expansion methods. These methods contribute a variety of exact traveling wave solutions to the scientific literature. The obtained solutions are also verified for the aforesaid equations through symbolic soft computations. Furthermore, some results are explained through numerical simulations that show the novelty of our work. Moreover, we observe that all the solutions are new and an excellent contribution in the existing literature of solitary wave theory. |
| first_indexed | 2024-12-17T20:14:36Z |
| format | Article |
| id | doaj.art-84e88fb2f70e46fd95cd1b06b7abef17 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-17T20:14:36Z |
| publishDate | 2021-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-84e88fb2f70e46fd95cd1b06b7abef172022-12-21T21:34:08ZengElsevierResults in Physics2211-37972021-09-0128104557Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approachesImran Siddique0Mohammed M.M. Jaradat1Asim Zafar2Khush Bukht Mehdi3M.S. Osman4Department of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar; Corresponding author.Department of Mathematics, COMSATS University Islamabad, Vehari Campus, PakistanDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, Faculty of Science, Cairo University, Giza 12613, EgyptIn this paper, we obtain the exact traveling solutions of the M-fractional generalized reaction Duffing model and density dependent M-fractional diffusion reaction equation by using three fertile, G′/G,1/G, modified G′/G2 and 1/G′-expansion methods. These methods contribute a variety of exact traveling wave solutions to the scientific literature. The obtained solutions are also verified for the aforesaid equations through symbolic soft computations. Furthermore, some results are explained through numerical simulations that show the novelty of our work. Moreover, we observe that all the solutions are new and an excellent contribution in the existing literature of solitary wave theory.http://www.sciencedirect.com/science/article/pii/S2211379721006598Generalized reaction duffing modelDiffusion reaction equationM−fractional derivativeExact traveling wave solutions |
| spellingShingle | Imran Siddique Mohammed M.M. Jaradat Asim Zafar Khush Bukht Mehdi M.S. Osman Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches Results in Physics Generalized reaction duffing model Diffusion reaction equation M−fractional derivative Exact traveling wave solutions |
| title | Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches |
| title_full | Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches |
| title_fullStr | Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches |
| title_full_unstemmed | Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches |
| title_short | Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches |
| title_sort | exact traveling wave solutions for two prolific conformable m fractional differential equations via three diverse approaches |
| topic | Generalized reaction duffing model Diffusion reaction equation M−fractional derivative Exact traveling wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721006598 |
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