Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator
In this study, we employ the effective iterative method to address the fractional Wu-Zhang Equation within the framework of the Caputo Derivative. The effective iterative method offers a practical approach to obtaining approximate solutions for fractional differential equations. We seek to provide i...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-02-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1333990/full |
| _version_ | 1797301326295597056 |
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| author | Humaira Yasmin A. A. Alderremy Rasool Shah Abdul Hamid Ganie Shaban Aly |
| author_facet | Humaira Yasmin A. A. Alderremy Rasool Shah Abdul Hamid Ganie Shaban Aly |
| author_sort | Humaira Yasmin |
| collection | DOAJ |
| description | In this study, we employ the effective iterative method to address the fractional Wu-Zhang Equation within the framework of the Caputo Derivative. The effective iterative method offers a practical approach to obtaining approximate solutions for fractional differential equations. We seek to provide insights into its solution and behavior by applying this method to the Wu-Zhang Equation. Through numerical analysis and the presentation of relevant tables and Figures, we demonstrate the accuracy and efficiency of this method in solving the fractional Wu-Zhang Equation. This research contributes to the understanding and solution of fractional-order differential equations and their applications in various scientific and engineering domains. |
| first_indexed | 2024-03-07T23:20:55Z |
| format | Article |
| id | doaj.art-5f60e964778549258f442b5a291211c0 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-07T23:20:55Z |
| publishDate | 2024-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-5f60e964778549258f442b5a291211c02024-02-21T05:50:50ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-02-011210.3389/fphy.2024.13339901333990Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operatorHumaira Yasmin0A. A. Alderremy1Rasool Shah2Abdul Hamid Ganie3Shaban Aly4Department of Basic Sciences, Preparatory Year, King Faisal University, Al-Ahsa, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Khalid University, Abha, Saudi ArabiaDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonBasic Science Department, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi ArabiaDepartment of Mathematics, Faculty of Science, AL-Azhar University, Assiut, EgyptIn this study, we employ the effective iterative method to address the fractional Wu-Zhang Equation within the framework of the Caputo Derivative. The effective iterative method offers a practical approach to obtaining approximate solutions for fractional differential equations. We seek to provide insights into its solution and behavior by applying this method to the Wu-Zhang Equation. Through numerical analysis and the presentation of relevant tables and Figures, we demonstrate the accuracy and efficiency of this method in solving the fractional Wu-Zhang Equation. This research contributes to the understanding and solution of fractional-order differential equations and their applications in various scientific and engineering domains.https://www.frontiersin.org/articles/10.3389/fphy.2024.1333990/fulleffective iterative methodWu-Zhang equationfractional calculusfractional partial difference equationCaputo derivative |
| spellingShingle | Humaira Yasmin A. A. Alderremy Rasool Shah Abdul Hamid Ganie Shaban Aly Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator Frontiers in Physics effective iterative method Wu-Zhang equation fractional calculus fractional partial difference equation Caputo derivative |
| title | Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator |
| title_full | Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator |
| title_fullStr | Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator |
| title_full_unstemmed | Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator |
| title_short | Iterative solution of the fractional Wu-Zhang equation under Caputo derivative operator |
| title_sort | iterative solution of the fractional wu zhang equation under caputo derivative operator |
| topic | effective iterative method Wu-Zhang equation fractional calculus fractional partial difference equation Caputo derivative |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1333990/full |
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