Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives
In this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC). We employe...
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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/10.1155/2021/9884027 |
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| author | Mei-Xiu Zhou A. S. V. Ravi Kanth K. Aruna K. Raghavendar Hadi Rezazadeh Mustafa Inc Ayman A. Aly |
| author_facet | Mei-Xiu Zhou A. S. V. Ravi Kanth K. Aruna K. Raghavendar Hadi Rezazadeh Mustafa Inc Ayman A. Aly |
| author_sort | Mei-Xiu Zhou |
| collection | DOAJ |
| description | In this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC). We employed natural transform (NT) on TFZKE followed by inverse natural transform, to obtain the solution of the equation. To validate the method, we have considered a few examples and compared with the actual results. Numerical results are in accordance with the existing results. |
| format | Article |
| id | doaj-art-3a8aeeab6eaf487cbf822b398c5a38a5 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3a8aeeab6eaf487cbf822b398c5a38a52025-02-03T01:25:08ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/98840279884027Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel DerivativesMei-Xiu Zhou0A. S. V. Ravi Kanth1K. Aruna2K. Raghavendar3Hadi Rezazadeh4Mustafa Inc5Ayman A. Aly6Credit Management Centre, Zhejiang Open University, Hangzhou 310012, ChinaDepartment of Mathematics, National Institute of Technology, Kurukshetra 136119, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, IndiaFaculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, IranBiruni University, Department of Computer Engineering, Istanbul, TurkeyDepartment of Mechanical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaIn this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC). We employed natural transform (NT) on TFZKE followed by inverse natural transform, to obtain the solution of the equation. To validate the method, we have considered a few examples and compared with the actual results. Numerical results are in accordance with the existing results.http://dx.doi.org/10.1155/2021/9884027 |
| spellingShingle | Mei-Xiu Zhou A. S. V. Ravi Kanth K. Aruna K. Raghavendar Hadi Rezazadeh Mustafa Inc Ayman A. Aly Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives Journal of Function Spaces |
| title | Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives |
| title_full | Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives |
| title_fullStr | Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives |
| title_full_unstemmed | Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives |
| title_short | Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives |
| title_sort | numerical solutions of time fractional zakharov kuznetsov equation via natural transform decomposition method with nonsingular kernel derivatives |
| url | http://dx.doi.org/10.1155/2021/9884027 |
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