Novel Analysis of Fractional-Order Fifth-Order Korteweg–de Vries Equations
In this paper, the ρ-homotopy perturbation transformation method was applied to analysis of fifth-order nonlinear fractional Korteweg–de Vries (KdV) equations. This technique is the mixture form of the ρ-Laplace transformation with the homotopy perturbation method. The purpose of this study is to de...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1883268 |
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| _version_ | 1832565437690281984 |
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| author | Ahmed B. Khoshaim Muhammad Naeem Ali Akgul Nejib Ghanmi Shamsullah Zaland |
| author_facet | Ahmed B. Khoshaim Muhammad Naeem Ali Akgul Nejib Ghanmi Shamsullah Zaland |
| author_sort | Ahmed B. Khoshaim |
| collection | DOAJ |
| description | In this paper, the ρ-homotopy perturbation transformation method was applied to analysis of fifth-order nonlinear fractional Korteweg–de Vries (KdV) equations. This technique is the mixture form of the ρ-Laplace transformation with the homotopy perturbation method. The purpose of this study is to demonstrate the validity and efficiency of this method. Furthermore, it is demonstrated that the fractional and integer-order solutions close in on the exact result. The suggested technique was effectively utilized and was accurate and simple to use for a number of related engineering and science models. |
| format | Article |
| id | doaj-art-34a927f1b8e746e8ab2db129cf1b07c0 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-34a927f1b8e746e8ab2db129cf1b07c02025-02-03T01:07:37ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1883268Novel Analysis of Fractional-Order Fifth-Order Korteweg–de Vries EquationsAhmed B. Khoshaim0Muhammad Naeem1Ali Akgul2Nejib Ghanmi3Shamsullah Zaland4Department of Mechanical EngineeringDeanship of Joint First Year Umm Al-Qura UniversityDepartment of MathematicsHigher Institute of Applied Sciences and Technologies Campus Universitaire Route Peripherique Dar El Amen KairouanDepartment of MathematicsIn this paper, the ρ-homotopy perturbation transformation method was applied to analysis of fifth-order nonlinear fractional Korteweg–de Vries (KdV) equations. This technique is the mixture form of the ρ-Laplace transformation with the homotopy perturbation method. The purpose of this study is to demonstrate the validity and efficiency of this method. Furthermore, it is demonstrated that the fractional and integer-order solutions close in on the exact result. The suggested technique was effectively utilized and was accurate and simple to use for a number of related engineering and science models.http://dx.doi.org/10.1155/2022/1883268 |
| spellingShingle | Ahmed B. Khoshaim Muhammad Naeem Ali Akgul Nejib Ghanmi Shamsullah Zaland Novel Analysis of Fractional-Order Fifth-Order Korteweg–de Vries Equations Journal of Mathematics |
| title | Novel Analysis of Fractional-Order Fifth-Order Korteweg–de Vries Equations |
| title_full | Novel Analysis of Fractional-Order Fifth-Order Korteweg–de Vries Equations |
| title_fullStr | Novel Analysis of Fractional-Order Fifth-Order Korteweg–de Vries Equations |
| title_full_unstemmed | Novel Analysis of Fractional-Order Fifth-Order Korteweg–de Vries Equations |
| title_short | Novel Analysis of Fractional-Order Fifth-Order Korteweg–de Vries Equations |
| title_sort | novel analysis of fractional order fifth order korteweg de vries equations |
| url | http://dx.doi.org/10.1155/2022/1883268 |
| work_keys_str_mv | AT ahmedbkhoshaim novelanalysisoffractionalorderfifthorderkortewegdevriesequations AT muhammadnaeem novelanalysisoffractionalorderfifthorderkortewegdevriesequations AT aliakgul novelanalysisoffractionalorderfifthorderkortewegdevriesequations AT nejibghanmi novelanalysisoffractionalorderfifthorderkortewegdevriesequations AT shamsullahzaland novelanalysisoffractionalorderfifthorderkortewegdevriesequations |