General Closed Form Wave Solutions of Nonlinear Space-Time Fractional Differential Equation in Nonlinear Science

Authors

  • M. A. Habib Department of Applied Mathematics, Noakhali Science and Technology University, Bangladesh
  • Muhammad Hanif Department of Applied Mathematics, Noakhali Science and Technology University, Bangladesh
  • A. N. M. Rezaul Karim Department of Computer Science and Engineering, International Islamic University Chittagong, Bangladesh
  • H. M. Shahadat Ali Department of Applied Mathematics, Noakhali Science and Technology University, Bangladesh

Keywords:

(G^'/G,1/G)- expansion method, fractional Chan-Hillard equation, fractional derivative, traveling wave solution

Abstract

We have enucleated new and further exact general wave solutions, along with multiple exact traveling wave solutions of space-time nonlinear fractional Chan-Hillard equation, by applying a relatively renewed technique two variables -expansion method. Also, based on fractional complex transformation and the properties of the modified Riemann-Liouville fractional order operator, the fractional partial differential equations are transforming into the form of ordinary differential equation. This method can be rumination of as the commutation of well-appointed -expansion method introduced by M. Wang et al.. In this paper, it is mentioned that the two variables - expansion method is more legitimate, modest, sturdy and effective in the sense of theoretical and pragmatical point of view. Lastly, by treating computer symbolic program Mathematica, the uniqueness of our attained wave solutions are represented graphically and reveal a comparison in a submissive manner.

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Published

2020-03-06

How to Cite

Habib, M. A. ., Hanif, M. ., Karim, A. N. M. R. ., & Ali, H. M. S. . (2020). General Closed Form Wave Solutions of Nonlinear Space-Time Fractional Differential Equation in Nonlinear Science. International Journal of Sciences: Basic and Applied Research (IJSBAR), 50(1), 175–194. Retrieved from https://gssrr.org/index.php/JournalOfBasicAndApplied/article/view/10586

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