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A Modified Iterative Approach Using YJ Transform for Solving Fractional PDEs |
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PP: 661-676 |
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doi:10.18576/pfda/110403
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Author(s) |
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Sahib A. Sachit,
Hassan K. Jassim,
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Abstract |
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| In this study, we present a new method for solving fractional partial differential equations using a transformation called the Yasser Jassim transformation, combined with the Daftardar Jafari method and the fractional Caputo operator. The proposed new method deals with linear and nonlinear equations. We proved the uniqueness and existence of this method using Gro ̈nwall’s inequality and Banach’s fixed-point theorem. The convergence of the approximate solutions to the exact solution was proven by tables and figures using MATLAB for the solved examples in the article, which are the fractional time-diffusion equation, the fractional Burger’s equation, and the fractional Korteweg-de Vries equation. |
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