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 study, numerical results of a fractional-order multi-dimensional model of the Navier–
Stokes equations will be achieved via adoption of two analytical methods, ie, the Adomian …

In this paper, we used the Natural decomposition approach with nonsingular kernel
derivatives to explore the modified Boussinesq and approximate long wave equations …

The objective of this manuscript is to model the fully fractional unsteady Casson nanofluid
flow between two parallel plates influenced by magneto hydrodynamic forces and Darcian …

In this article, we develop a technique to determine the analytical result of some Kaup–
Kupershmidt equations with the aid of a modified technique called the new iteration …

In this paper, we introduce and implement the optimal auxiliary function method to solve a
system of fractional-order Whitham–Broer–Kaup equations, a class of nonlinear partial …

This paper has applied a hybrid method called the homotopy perturbation transformation
technique to solve fractional‐order Newell‐Whitehead‐Segel equations. First, we used the …

This work applies a novel analytical technique to the fractional view analysis of coupled
Burgers equations. The proposed problems have been fractionally analyzed in the Caputo …

In this paper, we construct a system for analysis of an analytic solution of fractional fuzzy
solitary wave solutions for the Korteweg–De Vries (KdV) equation. We apply the iterative …

The aim of this article is to present a comparison of two analytical approaches toward
obtaining the solution of the time-fractional system of partial differential equations. The newly …