In this work, space-time fractal model about nonlinear KdV-Burgers–Kuramoto (NKBK) equation which describes nonlinear physical phenomena and involves instability …
KJ Wang, P Xu, F Shi - Fractals, 2023 - World Scientific
This paper derives a new fractional (3+ 1)-dimensional modified Zakharov–Kuznetsov equation based on the conformable fractional derivative for the first time. Some new types of …
Fundamental purpose of the current research article is to analyze the behavior of obtained results of time fractional nonlinear coupled Schrödinger-KdV equation, via implementing an …
W Cao, Y Xu, Z Zheng - Applied Sciences, 2018 - mdpi.com
In this paper, we studied the numerical solution of a time-fractional Korteweg–de Vries (KdV) equation with new generalized fractional derivative proposed recently. The fractional …
In this study, we aim to provide reliable methods for the initial value problem of the fractional modified Korteweg–de Vries (mKdV) equations. Fractional differential equations are …
In this article, the Korteweg-de Vries-Caudrey-Dodd-Gibbon (KdV-CDG) equation is explored via a fractional operator. A nonlocal differential operator with a nonsingular kernel …
It is essential for mathematicians, physicists, and engineers to construct fractional mathematical models for specific phenomena and develop numerical or analytical solutions …
A Yokuş - International Journal of Modern Physics B, 2018 - World Scientific
In this study, we investigate the nonlinear time-fractional Korteweg–de Vries (KdV) equation by using the (1/G′)-expansion method and the finite forward difference method. We first …
The aim of this article is to study the Drinfeld–Sokolov–Wilson equation considered in fractal- fractional sense with exponential decay and Mittag-Leffler type kernels. The Laplace …