In this article, a class of population growth model, the fractional nonlinear logistic system, is
studied analytically and numerically. This model is investigated by means of Atangana …

In this paper, an efficient numerical method is introduced for solving the fractional (Caputo
sense) Fisher equation. This equation presents the problem of biological invasion and …

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) …

This paper is primarily concerned with data analysis employing the nonlinear least squares
curve fitting method and the mathematical prediction of future population growth in …

In this paper, we implement Chebyshev pseudo-spectral method for solving numerically
system of linear and non-linear fractional integro-differential equations of Volterra type. The …

In this paper, we introduced an accurate computational matrix method for solving systems of
high order fractional differential equations. The proposed method is based on the derived …

We first develop a spectrally accurate Petrov--Galerkin spectral method for fractional delay
differential equations (FDDEs). This scheme is developed based on a new spectral theory …

In this paper, finite difference method (FDM) and variational iteration method (VIM) have
been successfully implemented for solving nonlinear fractional-order Logistic equation …

A new model of fractional for the influence of consciousness initiatives on epidemic
incidences (ICIEI) is described in this research. The fractional Caputo operator (FCO) is …

In this document, we are keen on showing the rough scientific answers for fragmentary
differential conditions by utilizing the Vieta-Lucas polynomial procedure. The fractional …