A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations
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 add...
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Main Authors: | , , , |
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Format: | Article |
Published: |
SPRINGER
2022
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Online Access: | http://eprints.um.edu.my/46161/ https://doi.org/10.1186/s13661-022-01673-3 |
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Summary: | 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 alpha values are briefly examined. The proposed method performs well in terms of simplicity and efficiency. |
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