A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations
Abstract 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 equation...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-022-01673-3 |
| _version_ | 1811187044044505088 |
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| author | Sajad Iqbal Francisco Martínez Mohammed K. A. Kaabar Mohammad Esmael Samei |
| author_facet | Sajad Iqbal Francisco Martínez Mohammed K. A. Kaabar Mohammad Esmael Samei |
| author_sort | Sajad Iqbal |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-04-11T13:56:31Z |
| format | Article |
| id | doaj.art-ed94087fd6504df390f44418aad0d797 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-11T13:56:31Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-ed94087fd6504df390f44418aad0d7972022-12-22T04:20:20ZengSpringerOpenBoundary Value Problems1687-27702022-11-012022112310.1186/s13661-022-01673-3A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equationsSajad Iqbal0Francisco Martínez1Mohammed K. A. Kaabar2Mohammad Esmael Samei3Department of Mathematics, Zhejiang UniversityDepartment of Applied Mathematics and Statistics, Technological University of CartagenaInstitute of Mathematical Sciences, Faculty of Science, University of MalayaDepartment of Mathematics, Bu-Ali Sina UniversityAbstract 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.https://doi.org/10.1186/s13661-022-01673-3Homotopy perturbation methodElzaki transformationConformable derivativesNon-linear time-fractional PDEsUniquenceConvergence |
| spellingShingle | Sajad Iqbal Francisco Martínez Mohammed K. A. Kaabar Mohammad Esmael Samei A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations Boundary Value Problems Homotopy perturbation method Elzaki transformation Conformable derivatives Non-linear time-fractional PDEs Uniquence Convergence |
| title | A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations |
| title_full | A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations |
| title_fullStr | A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations |
| title_full_unstemmed | A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations |
| title_short | A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations |
| title_sort | novel elzaki transform homotopy perturbation method for solving time fractional non linear partial differential equations |
| topic | Homotopy perturbation method Elzaki transformation Conformable derivatives Non-linear time-fractional PDEs Uniquence Convergence |
| url | https://doi.org/10.1186/s13661-022-01673-3 |
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