Analytical Solutions to the Fractional Zhiber-Shabat Equation Using the Unified Method
In this study, exact solutions of the conformable fractional Zhiber–Shabat (Z–S) equation have been investigated using the unified method. The primary objective is to apply this method to derive analytical solutions to the fractional Z–S equation. Graphical visualizations of selected solutions are presented to demonstrate the influence of the fractional order on wave dynamics. The results confirm the reliability and effectiveness of the unified method in solving the Z–S equation.
Authors
- Abaker A. Hassaballa (ORCID: https://orcid.org/0009-0001-7809-353X)
- Elzain A. E. Gumma
- Zakariya M. S. Mohammed (ORCID: https://orcid.org/0000-0003-4371-5711)
- Ali Satty (ORCID: https://orcid.org/0000-0003-2036-4074)
- Gamal Saad Mohamed Khamis (ORCID: https://orcid.org/0000-0003-3689-4010)
- Omer M. A. Hamed
- Mohyaldein Salih (ORCID: https://orcid.org/0009-0007-2634-0504)
- Ahmed M. A. Adam
Publication Details
- Journal
- International Journal of Analysis and Applications
- Published
- 2025-09-19
- DOI
- https://doi.org/10.28924/2291-8639-23-2025-230
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00