Analytical Solutions to the Fractional Zhiber-Shabat Equation Using the Unified Method

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DOI: https://doi.org/10.28924/2291-8639-23-2025-230
Published: Sep 19, 2025
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Ahmed M. A. Adam, Elzain A. E. Gumma, Ali Satty, Mohyaldein Salih, Zakariya M. S. Mohammed, Gamal Saad Mohamed Khamis, Omer M. A. Hamed, Abaker A. Hassaballa, Analytical Solutions to the Fractional Zhiber-Shabat Equation Using the Unified Method, Int. J. Anal. Appl., 23 (2025), 230.

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Ahmed M. A. Adam, Elzain A. E. Gumma, Ali Satty, Mohyaldein Salih, Zakariya M. S. Mohammed, Gamal Saad Mohamed Khamis, Omer M. A. Hamed, Abaker A. Hassaballa

Abstract

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.

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