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 …

In this paper, we provide a new semi-analytical approach, General Residual Power Series
Method (GRPSM), to solve fractional differential equations (FDEs). This technique is simple …

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 …

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 …

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 equation of magneto-hydrodynamic Jeffery-Hamel flow of non-Newtonian Casson fluid
in a stretching/shrinking convergent/divergent channel is derived and solved using a new …

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 …

A hybrid of Fourier transform and new modified homotopy perturbation method based on the
Adomian method is developed to solve linear and nonlinear partial differential equations …

The time fractional modified Korteweg-de Vries (TFMKdV) equation is solved to study the
nonlinear propagation of small but finite amplitude dust ion-acoustic (DIA) solitary waves in …

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