Abstract
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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference43 articles.
1. Oldham, K.B., and Spanier, J. (1974). The Fractional Calculus: Theory and Applications of Differentiation and Ntegration to Arbitrary Order, Vol. 11 of Mathematics in Science and Engineering, Academic Press.
2. Mohammed, W.W., Bazighifan, O., Al-Sawalha, M.M., Almatroud, A.O., and Aly, E.S. (2021). The influence of noise on the exact solutions of the stochastic fractional-space chiral nonlinear schrödinger equation. Fractal Fract., 5.
3. Podlubny, I. (1999). Fractional Differential Equations, Vol. 198 of Mathematics in Science and Engineering, Academic Press.
4. Hilfer, R. (2000). Applications of Fractional Calculus in Physics, World Scientific Publishing.
5. Oustaloup, A. (1991). La Commande CRONE: Commande Robuste d’Ordre Non Entier, Editions Hermès.
Cited by
18 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献