The homotopy perturbation method (HPM) was proposed by Ji-Huan. He was a rising star in
analytical methods, and all traditional analytical methods had abdicated their crowns. It is …

In this study, a novel adapted homotopy perturbation method (HPM) is used to treat the
nonlinear phenomena of free vibration in a system with one degree of freedom. This …

For the first time, we establish a new procedure by using the conformable Shehu transform
(CST) and an iteration method for solving fractional‐order Cauchy reaction‐diffusion …

Purpose The purpose of this paper is to introduce an innovative strategy for the approximate
solution of the heat flow problems in two-and three-dimensional spaces. This new strategy is …

In this paper, convective-conductive heat transfer processes between the all components of
geothermal borehole heat exchanger (BHE) such as pipe-in, pipe-out and grout have been …

Complex and nonlinear fractal equations are ubiquitous in natural phenomena. This
research employs the fractal Euler− Lagrange and semi-inverse methods to derive the …

The nonlinear properties of ion acoustic shock waves are studied. The Burgers equation is
derived and converted into the time fractional Burgers equation by Agrawal's method. Using …

Ion-acoustic (IA) solitary wave propagation is investigated by solving the fractional Schamel
equation (FSE) in a homogenous system of unmagnetized plasma. This plasma consists of …

This paper presents a significant scheme to drive the numerical solution of multi-
dimensional diffusion problems where the fractional derivatives are taken in Caputo sense …

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