Mourad Samir abdallah Mohmmed Semary
Asst. Professor
Solitary Wave Solution for Fractional-Order General Equal-Width Equation via Semi Analytical Technique
Appl. Math • 2023
Publication Information
Authors
Khalid K Ali, F Abd Elbary, Mohamed S Abdel-wahed, M Elsisy, Mourad S Semary
Keywords
Not Available
Journal
Appl. Math
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
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.