Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative
In this paper, we consider the (4+1)-dimensional fractional Fokas equation (FFE) with an M-truncated derivative. The extended tanh–coth method and the Jacobi elliptic function method are utilized to attain new hyperbolic, trigonometric, elliptic, and rational fractional solutions. In addition, we ge...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/1/194 |
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| author | Wael W. Mohammed Clemente Cesarano Farah M. Al-Askar |
| author_facet | Wael W. Mohammed Clemente Cesarano Farah M. Al-Askar |
| author_sort | Wael W. Mohammed |
| collection | DOAJ |
| description | In this paper, we consider the (4+1)-dimensional fractional Fokas equation (FFE) with an M-truncated derivative. The extended tanh–coth method and the Jacobi elliptic function method are utilized to attain new hyperbolic, trigonometric, elliptic, and rational fractional solutions. In addition, we generalize some previous results. The acquired solutions are beneficial in analyzing definite intriguing physical phenomena because the FFE equation is crucial for explaining various phenomena in optics, fluid mechanics and ocean engineering. To demonstrate how the M-truncated derivative affects the analytical solutions of the FFE, we simulate our figures in MATLAB and show several 2D and 3D graphs. |
| first_indexed | 2024-03-09T09:44:59Z |
| format | Article |
| id | doaj.art-aa58151f8b224695ba9e0401230ea734 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T09:44:59Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-aa58151f8b224695ba9e0401230ea7342023-12-02T00:39:04ZengMDPI AGMathematics2227-73902022-12-0111119410.3390/math11010194Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated DerivativeWael W. Mohammed0Clemente Cesarano1Farah M. Al-Askar2Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi ArabiaSection of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, ItalyDepartment of Mathematical Science, Collage of Science, Princess Nourah Bint, Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaIn this paper, we consider the (4+1)-dimensional fractional Fokas equation (FFE) with an M-truncated derivative. The extended tanh–coth method and the Jacobi elliptic function method are utilized to attain new hyperbolic, trigonometric, elliptic, and rational fractional solutions. In addition, we generalize some previous results. The acquired solutions are beneficial in analyzing definite intriguing physical phenomena because the FFE equation is crucial for explaining various phenomena in optics, fluid mechanics and ocean engineering. To demonstrate how the M-truncated derivative affects the analytical solutions of the FFE, we simulate our figures in MATLAB and show several 2D and 3D graphs.https://www.mdpi.com/2227-7390/11/1/194fractional FokasJacobi elliptic function methodextended tanh–coth method |
| spellingShingle | Wael W. Mohammed Clemente Cesarano Farah M. Al-Askar Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative Mathematics fractional Fokas Jacobi elliptic function method extended tanh–coth method |
| title | Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative |
| title_full | Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative |
| title_fullStr | Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative |
| title_full_unstemmed | Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative |
| title_short | Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative |
| title_sort | solutions to the 4 1 dimensional time fractional fokas equation with m truncated derivative |
| topic | fractional Fokas Jacobi elliptic function method extended tanh–coth method |
| url | https://www.mdpi.com/2227-7390/11/1/194 |
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