Solitary Wave Solution for the Time-Fractional Modified KdV-Burger’s Equation by Using the Residual Power Series Method

Authors

  • Fatma M. Ahmed Mathematics Department, Faculty of Sciences -Alajelat, University of Zawia, Alajelat, Libya Author
  • Muna Ali Mansour Mathematics Department, Faculty of Sciences -Alajelat, University of Zawia, Alajelat, Libya Author
  • Mahmoud El-Horbaty Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt Author

Keywords:

Residual power series method, fractional modified KdV-Burger’s equation, Caputo’s sense

Abstract

This study examines the usage of the residual power series method (RPSM) to numerically investigate the solution of the time-fractional modified KdV-Burger’s equation in the Caputo’s sense. The reliability and the efficiency of the method were demonstrated using 2D and 3D illustrations as well as error. The obtained results have indicated the potency of the RPSM for such initial values problems.

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Published

2025-12-30

Issue

Volume 3, Issue 4, 2025

Section

Applied Sciences Theme

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Fatma M. Ahmed, Muna Ali Mansour, & Mahmoud El-Horbaty. (2025). Solitary Wave Solution for the Time-Fractional Modified KdV-Burger’s Equation by Using the Residual Power Series Method. Afro-Asian Journal of Scientific Research (AAJSR), 3(4), 238-243. https://aajsr.com/index.php/aajsr/article/view/720