Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms
In this article, we develop a technique to determine the analytical result of some Kaup–Kupershmidt equations with the aid of a modified technique called the new iteration transform method. This technique is a mixture of the novel integral transformation Elzaki transformation and the new iteration t...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/2567927 |
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| _version_ | 1832551609796657152 |
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| author | Naveed Iqbal Humaira Yasmin Ali Rezaiguia Jeevan Kafle A. Othman Almatroud Taher S. Hassan |
| author_facet | Naveed Iqbal Humaira Yasmin Ali Rezaiguia Jeevan Kafle A. Othman Almatroud Taher S. Hassan |
| author_sort | Naveed Iqbal |
| collection | DOAJ |
| description | In this article, we develop a technique to determine the analytical result of some Kaup–Kupershmidt equations with the aid of a modified technique called the new iteration transform method. This technique is a mixture of the novel integral transformation Elzaki transformation and the new iteration technique. The nonlinear term can be handled easily by a new iteration technique. The results show that the combination of the Elzaki transformation and the new iteration technique is quite capable and basically well suited for applying in such problems and that it can be implemented to other nonlinear models. This technique is viewed as an effective alternative approach to certain existing approaches for such accurate models. |
| format | Article |
| id | doaj-art-65432a40e6d34caf9d2c14dabc4936d9 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-65432a40e6d34caf9d2c14dabc4936d92025-02-03T06:01:01ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/2567927Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel TransformsNaveed Iqbal0Humaira Yasmin1Ali Rezaiguia2Jeevan Kafle3A. Othman Almatroud4Taher S. Hassan5Department of MathematicsDepartment of Basic SciencesDepartment of MathematicsCentral Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, we develop a technique to determine the analytical result of some Kaup–Kupershmidt equations with the aid of a modified technique called the new iteration transform method. This technique is a mixture of the novel integral transformation Elzaki transformation and the new iteration technique. The nonlinear term can be handled easily by a new iteration technique. The results show that the combination of the Elzaki transformation and the new iteration technique is quite capable and basically well suited for applying in such problems and that it can be implemented to other nonlinear models. This technique is viewed as an effective alternative approach to certain existing approaches for such accurate models.http://dx.doi.org/10.1155/2021/2567927 |
| spellingShingle | Naveed Iqbal Humaira Yasmin Ali Rezaiguia Jeevan Kafle A. Othman Almatroud Taher S. Hassan Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms Journal of Mathematics |
| title | Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms |
| title_full | Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms |
| title_fullStr | Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms |
| title_full_unstemmed | Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms |
| title_short | Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms |
| title_sort | analysis of the fractional order kaup kupershmidt equation via novel transforms |
| url | http://dx.doi.org/10.1155/2021/2567927 |
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