Understanding the connection between spatial patterns in population densities and
ecological heterogeneity is significant to the understanding of population dynamics and the …

This paper proposes some updated and improved numerical schemes based on Newton's
interpolation polynomial. A Burke-Shaw system of the time-fractal fractional derivative with a …

In this research, we examine the solution of ordinary fractional differential equations using
Atangana's beta derivative. Our approach is divided into two parts. First, we establish …

The aim of this work is to propose two efficient schemes to handle the accuracy near the
singularity at t= 0 in solving two-dimensional time-fractional diffusion-wave equation …

The aim of this article is to establish a numerical scheme to achieve the theoretical accuracy
near the weak singularity at t= 0 in solving the two-dimensional time-fractional nonlinear …

This paper aims to demonstrate a numerical strategy via finite difference formulations for
time fractional reaction–diffusion models which are ubiquitous in chemical and biological …

This paper deals with the effect of fractional order on the fractional Euler-Bernoulli beams
model. This model is based on the elastic curve that can be approximated using tangent …

The COVID-19 pandemic still gains the attention of many researchers worldwide. Over the
past few months, China faced a new wave of this pandemic which increases the risk of its …

In this manuscript, we report the rich dynamics of the theoretical Brusselator model, which is
driven by a periodic external force. We observed and confirmed a variety of dynamical …

In this article, we present a nonlinear model of the Liu system that includes fractional
derivatives of variable-order. Due to the nonlocality of the dynamical system, we introduce …