In this paper, we find the solution of the fractional-order Kaup–Kupershmidt (KK) equation by
implementing the natural decomposition method with the aid of two different fractional …

Motivated by the importance of diffusion equations in many physical situations in general
and in plasma physics in particular, therefore, in this study, we try to find some novel …

In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …

In this article, we solve nonlinear systems of third order KdV Equations and the systems of
coupled Burgers equations in one and two dimensions with the help of two different …

In this paper, we used the natural decomposition approach with non-singular kernel
derivatives to find the solution to nonlinear fractional Gardner and Cahn–Hilliard equations …

A new integral transform method for regularized long‐wave (RLW) models having fractional‐
order is presented in this study. Although analytical approaches are challenging to apply to …

The development of numeric-analytic solutions and the construction of fractional-order
mathematical models for practical issues are of the greatest importance in a variety of …

The algebras of the symmetry operators for the Klein–Gordon equation are important for a
charged test particle, moving in an external electromagnetic field in a space time manifold …

This paper applies modified analytical methods to the fractional-order analysis of one and
two-dimensional nonlinear systems of coupled Burgers and Hirota–Satsuma KdV equations …

This article is related to the fractional‐order analysis of one‐and two‐dimensional nonlinear
systems of third‐order KdV equations and coupled Burgers equations, applying modified …