In this work, we use two different techniques to discuss approximate analytical solutions for
the time‐fractional Fokker–Planck equation (TFFPE), namely the new iterative method (NIM) …

The Duffing oscillator is a common model for nonlinear phenomena in science and
engineering. In this paper, we use the modified differential transform method to obtain the …

We studied physical problems related to heat transport and the corresponding differential
equations, which describe a wider range of physical processes. The operational method …

The complexity of solving differential equations in real-world applications motivates
researchers to extend numerical methods. Among different numerical and semi-analytical …

In this study, the nonlinear damping oscillations in a complex non-Maxwellian plasma are
investigated. For this purpose, the set of fluid equations of the present plasma model is …

In spite of its simple formulation via a nonlinear differential equation, the Gompertz model
has been widely applied to describe the dynamics of biological and biophysical parts of …

Abstract Changes in the parameters of dynamical systems can cause the state of the system
to shift between different qualitative regimes. These shifts, known as bifurcations, are critical …

This work presents a fast and efficient approach for solving the Fokker–Planck equation via
the Laguerre wavelet collocation method. Properties of the Laguerre wavelet are presented …

In this study, the numerical solutions of some systems of ordinary and partial differential
equations have been analyzed by using the Differential Transformation Method (DTM) and …

In this paper, a newly proposed analytical scheme by the authors namely the improved
differential transform method is employed to provide an explicit series solution to the …