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A Semi-Analytical Technique for Solving the Time-Fractional Kaup-Kupershmidt Equation |
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PP: 507-520 |
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doi:10.18576/pfda/110306
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Author(s) |
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Aliaa Burqan,
Ahmad Al-Natoor,
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Abstract |
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| In this study, an accurate solution for the time-fractional Kaup-Kupershmidt equation is provided. Asemi-analyticalmethod, the ARA- Residual power series method, is employed for creating a series solution to the given equation. The concepts of ARA transform, power series, residual function, and the limit at infinity are the main components of the proposed method. To verify the accuracy of the introduced method, numerical and graphical examples are given to compare our approximate solution with the exact one. We conclude that this approach is simple, effortless to use, and successful in solving fractional differential equations.
Keywords: |
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