This article mainly explores and applies a modified form of the analytical method, namely the
homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction …

The main aim of the current article is considering a nonlinear time‐fractional Cauchy
reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate …

This book analyzes the various semi-analytical and analytical methods for finding
approximate and exact solutions of fractional order partial differential equations. It explores …

In the present work the modified homotopy perturbation method (HPM), incorporating He's
polynomial into the HPM, combined with the Fourier transform, is used to solve the nonlinear …

The max-min approach is applied to mathematical models of some nonlinear oscillations.
The models are regarding to three different forms that are governed by nonlinear ordinary …

This paper aims to explore and apply differential quadrature based on different test functions
to find an efficient numerical solution of fractional order Cauchy reaction‐diffusion equations …

In the present article, the new exact solutions of fractional coupled Schrödinger type
equations have been studied by using a new reliable analytical method. We applied a …

Electronegative dusty plasma composed of Boltzmann electrons, Boltzmann negative ions,
inertial positive ions and charge fluctuating dust has been considered. The fractional …

The time fractional modified KdV, the so-called TFMKdV equation is solved to study the
nonlinear propagation of the dust acoustic (DA) solitary waves in un-magnetized four …

In this article, classical Cauchy reaction-diffusion equations are converted into the
corresponding time-fractional Cauchy reaction-diffusion equations using Caputo–Fabrizio …