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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: Iqbal, Sajad, Martinez, Francisco, Kaabar, Mohammed K. A., Samei, Mohammad Esmael
Format: Article
Published: SPRINGER 2022
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/46161/
https://doi.org/10.1186/s13661-022-01673-3
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spelling my.um.eprints.461612024-10-28T08:23:39Z http://eprints.um.edu.my/46161/ A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations Iqbal, Sajad Martinez, Francisco Kaabar, Mohammed K. A. Samei, Mohammad Esmael QA Mathematics 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. SPRINGER 2022-11 Article PeerReviewed Iqbal, Sajad and Martinez, Francisco and Kaabar, Mohammed K. A. and Samei, Mohammad Esmael (2022) A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations. BOUNDARY VALUE PROBLEMS, 2022 (1). ISSN 1687-2770, DOI https://doi.org/10.1186/s13661-022-01673-3 <https://doi.org/10.1186/s13661-022-01673-3>. https://doi.org/10.1186/s13661-022-01673-3 10.1186/s13661-022-01673-3
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Iqbal, Sajad
Martinez, Francisco
Kaabar, Mohammed K. A.
Samei, Mohammad Esmael
A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations
description 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.
format Article
author Iqbal, Sajad
Martinez, Francisco
Kaabar, Mohammed K. A.
Samei, Mohammad Esmael
author_facet Iqbal, Sajad
Martinez, Francisco
Kaabar, Mohammed K. A.
Samei, Mohammad Esmael
author_sort Iqbal, Sajad
title 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_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_sort novel elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations
publisher SPRINGER
publishDate 2022
url http://eprints.um.edu.my/46161/
https://doi.org/10.1186/s13661-022-01673-3
_version_ 1814933258787356672
score 13.211869

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