Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu Derivative
In this paper, we investigate the numerical solution of the Fornberg-Whitham equations with the help of two powerful techniques: the modified decomposition technique and the modified variational iteration technique involving fractional-order derivatives with Mittag-Leffler kernel. To confirm and ill...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/2197247 |
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| author | Naveed Iqbal Humaira Yasmin Akbar Ali Abdul Bariq M. Mossa Al-Sawalha Wael W. Mohammed |
| author_facet | Naveed Iqbal Humaira Yasmin Akbar Ali Abdul Bariq M. Mossa Al-Sawalha Wael W. Mohammed |
| author_sort | Naveed Iqbal |
| collection | DOAJ |
| description | In this paper, we investigate the numerical solution of the Fornberg-Whitham equations with the help of two powerful techniques: the modified decomposition technique and the modified variational iteration technique involving fractional-order derivatives with Mittag-Leffler kernel. To confirm and illustrate the accuracy of the proposed approach, we evaluated in terms of fractional order the projected models. Furthermore, the physical attitude of the results obtained has been acquired for the fractional-order different value graphs. The results demonstrated that the future method is easy to implement, highly methodical, and very effective in analyzing the behavior of complicated fractional-order linear and nonlinear differential equations existing in the related areas of applied science. |
| format | Article |
| id | doaj-art-96309fcfb35a4f179364d403c1623a2b |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-96309fcfb35a4f179364d403c1623a2b2025-08-20T03:37:29ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/2197247Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu DerivativeNaveed Iqbal0Humaira Yasmin1Akbar Ali2Abdul Bariq3M. Mossa Al-Sawalha4Wael W. Mohammed5Department of MathematicsDepartment of Basic SciencesDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we investigate the numerical solution of the Fornberg-Whitham equations with the help of two powerful techniques: the modified decomposition technique and the modified variational iteration technique involving fractional-order derivatives with Mittag-Leffler kernel. To confirm and illustrate the accuracy of the proposed approach, we evaluated in terms of fractional order the projected models. Furthermore, the physical attitude of the results obtained has been acquired for the fractional-order different value graphs. The results demonstrated that the future method is easy to implement, highly methodical, and very effective in analyzing the behavior of complicated fractional-order linear and nonlinear differential equations existing in the related areas of applied science.http://dx.doi.org/10.1155/2021/2197247 |
| spellingShingle | Naveed Iqbal Humaira Yasmin Akbar Ali Abdul Bariq M. Mossa Al-Sawalha Wael W. Mohammed Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu Derivative Journal of Function Spaces |
| title | Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu Derivative |
| title_full | Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu Derivative |
| title_fullStr | Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu Derivative |
| title_full_unstemmed | Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu Derivative |
| title_short | Numerical Methods for Fractional-Order Fornberg-Whitham Equations in the Sense of Atangana-Baleanu Derivative |
| title_sort | numerical methods for fractional order fornberg whitham equations in the sense of atangana baleanu derivative |
| url | http://dx.doi.org/10.1155/2021/2197247 |
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