In this work, the solution of Riesz space fractional partial differential equations of parabolic
type is considered. Since fractional-in-space operators have been applied to model …

Many chemical systems exhibit a range of patterns, a noticeable and interesting class of
numerical patterns that arise in autocatalytic reactions which changes with increasing spatial …

This study focuses on the study of spatiotemporal and chaotic behavior in an extended non-
integer order dynamical systems which describe the spatial interaction between two …

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

In this article, the authors propose to investigate the numerical solutions of several fractional-
order models of the multi-space coupled Korteweg–De Vries equation involving many …

The intension of the present study is to solve the nonlinear biological susceptible, infected
and recovered (SIR) models using Feed-Forward Artificial Neural Networks (FFANN) …

A Numerical solution of the Caputo-time and Riesz-space fractional reaction–diffusion
model is considered in this paper. Based on finite difference schemes, we formulate both …

In this paper, we consider some reaction–diffusion systems arising from two-component
predator–prey models with various kinetics ranging from prey-dependent, ratio-dependent …

In this essay, we introduce a bioeconomic predator–prey model which incorporates the
square root functional response and nonlinear prey harvesting. Due to the introduction of …

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 …