In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is
formulated in the senses of Caputo fractional derivative and conformable derivative. A new …

The studies of the dynamic behaviors of nonlinear models arising in ocean engineering play
a significant role in our daily activities. In this study, we investigate the coupled Boussinesq …

In this article, we present study on time fractional nonlinear Schrödinger equation. We
investigate the behaviour of the aforesaid equation in two numerous types of operators …

The present paper is devoted to the convergence control and accelerating the traditional
Decomposition Method of Adomian (ADM). By means of perturbing the initial or early terms …

In this study, we introduced a novel scheme to attain approximate and closed‐form solutions
of conformable Newell‐Whitehead‐Segel (NWS) equations, which belong to the most …

Classical Burgers' equation is an indispensable dynamical evolution equation that is
autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This …

There is considerable literature on solutions to the gas-dynamic equation (GDE) and Fokker–
Planck equation (FPE), where the fractional derivative is expressed in terms of the Caputo …

This study stems from the growing need for effective mathematical tools to tackle nonlinear
fractional evolution equations, which find wide applications in physics and engineering …

The present manuscript employed a rare approach to tackle a vector-coupled system of
Chen-Lee-Liu Equation (CLLE). This approach was based on the combination of the …

The fractional partial differential equations have wide applications in science and
engineering. In this paper, the Kudryashov techniques were utilized to obtain an exact …