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Dr. Mourad Samir abdallah Mohmmed Semary :: Publications: |
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| Title: | Solitary Wave Solution for Fractional-Order General Equal-Width Equation via Semi Analytical Technique |
| Authors: | Khalid K Ali, F Abd Elbary, Mohamed S Abdel-wahed, M Elsisy, Mourad S Semary |
| Year: | 2023 |
| Keywords: | Not Available |
| Journal: | Appl. Math |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | 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. |
