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Title
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A novel Elzaki transform Homotopy perturbation method for solving time-fractional non-linear partial differential equations
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Type
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JournalPaper
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Keywords
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Homotopy perturbation method; Elzaki transformation; Conformable derivatives; Non-linear time-fractional PDEs; Uniquence; Convergence
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Abstract
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This paper presents the solution of important types of non-linear time-fractional partial differential equations via the conformable Elzaki transform Homotopy perturbation method. We apply the proposed technique to solve four types of non-linear time-fractional partial differential equations. In addition, we establish the results on the uniqueness and convergence of the solution. Finally, the numerical results for a variety of α values are briefly examined. The proposed method performs well in terms of simplicity and efficiency
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Researchers
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Mohammed K. A. Kaabar (Third Researcher), Francisco Martinez (Second Researcher), Sajad Iqbal (First Researcher), Mohammad Esmael Samei (Fourth Researcher)
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