Solving Conformable Evolution Equations by an Extended Numerical Method

Authors

  • Zoubir Dahmani
  • Ahmed Anber
  • Iqbal Jebril

Keywords:

Conformable fractional derivative, nonlinear differential equation, extended tanh method, traveling wave solution.

Abstract

In this paper, an extension for the tanh-function method is proposed by using an (α1, α2, ..., αn, β)− rational transformation method, n is an arbitrary integer. As applications and to illustrate the validity of this method, the (1+3)-dimensional conformable time and space factional Burgers equation, and two other (1+3)-dimensional conformable fractional evolution examples, that are useful for academic purposes, are solved. More kink and generalized traveling wave solutions are obtained and some three-dimensional solution graphs are presented at the end of this paper.

Key words and phrases. Conformable fractional derivative, nonlinear differential equation, extended tanh method, traveling wave solution.

2000 Mathematics Subject Classification. 26A33, 34C15

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Published

2025-05-18

How to Cite

Zoubir Dahmani, Ahmed Anber, & Iqbal Jebril. (2025). Solving Conformable Evolution Equations by an Extended Numerical Method. Jordan Journal of Mathematics and Statistics, 15(2), 363–380. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/759

Issue

Vol. 15 No. 2 (2022)

Section

Articles