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Exact traveling wave solutions for two prolific conformable M-Fractional differential equations via three diverse approaches

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submitted on 2023-10-25, 07:09 and posted on 2023-10-25, 10:02 authored by Imran Siddique, Mohammed M.M. Jaradat, Asim Zafar, Khush Bukht Mehdi, M.S. Osman

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.

Other Information

Published in: Results in Physics
License: http://creativecommons.org/licenses/by/4.0/
See article on publisher's website: https://dx.doi.org/10.1016/j.rinp.2021.104557

Funding

Open Access funding provided by the Qatar National Library

History

Language

  • English

Publisher

Elsevier

Publication Year

  • 2021

License statement

This Item is licensed under the Creative Commons Attribution 4.0 International License

Institution affiliated with

  • Qatar University
  • College of Arts and Sciences - QU

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