In this article, we find the solution of time‐fractional Belousov–Zhabotinskii reaction by
implementing two well‐known analytical techniques. The proposed methods are the …

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 …

This article applies the homotopy perturbation transform technique to analyze fractional-
order nonlinear fifth-order Korteweg–de-Vries-type (KdV-type)/Kawahara-type equations …

In this work, the novel iterative transformation technique and homotopy perturbation
transformation technique are used to calculate the fractional‐order gas dynamics equation …

This article applies efficient methods, namely, modified decomposition method and new
iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries …

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 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 …

In this paper, we deal with an alternative analytical analysis of fractional‐order partial
differential equations with proportional delay, achieved by applying Yang decomposition …

This article proposed two novel techniques for solving the fractional-order Boussinesq
equation. Several new approximate analytical solutions of the second-and fourth-order time …