Solitary Wave Solution for Fractional-Order General Equal-Width Equation via Semi Analytical Technique

Authors

Khalid K. Ali, Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, EgyptFollow
F. E. Abd Elbary, Department of Basic Engineeriing Sciences, Faculty of Engineering, MTI university, Cario, EgyptFollow
Mohamed S. Abdel-wahed, Department of Basic Engineeriing Sciences, Faculty of Engineering at Benha, Benha university, Cario, EgyptFollow
M. A. Elsisy, Department of Basic Engineeriing Sciences, Faculty of Engineering at Benha, Benha university, Cario, EgyptFollow
Mourad S. Semary, Department of Basic Engineeriing Sciences, Faculty of Engineering at Benha, Benha university, Cario, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

This paper presents an innovative approach to solve equal-width time-fractional-order equations that describe the behavior of waves in a certain physical system, using the Caputo operator to express the fractional derivative by improving the Taylor series expansion.Its convergence theorem is proven, and the error between the exact and approximate solutions is estimated; the resulting solutions are illustrated using graphs for different values of the fractional derivative order and time.The primary objective of this study is to demonstrate the effectiveness of the method in reducing computational effort for solving nonlinear fractional partial differential equations (NFPDEs).

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170316

Recommended Citation

K. Ali, Khalid; E. Abd Elbary, F.; S. Abdel-wahed, Mohamed; A. Elsisy, M.; and S. Semary, Mourad (2023) "Solitary Wave Solution for Fractional-Order General Equal-Width Equation via Semi Analytical Technique," Applied Mathematics & Information Sciences: Vol. 17: Iss. 3, Article 16.
DOI: http://dx.doi.org/10.18576/amis/170316
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss3/16