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 …

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 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 article a new approach in solving time fractional partial differential equations
(TFPDEs) is introduced, that is, the ARA-residual power series method. The main idea of this …

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 research, systems of linear and nonlinear differential equations of fractional order are
solved analytically using the novel interesting method: ARA‐Residual Power Series (ARA …

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

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