Open AccessIMPACT OF THE SAME DEGENERATE ADDITIVE NOISE ON A COUPLED SYSTEM OF FRACTIONAL SPACE DIFFUSION EQUATIONS
Author(s) -
Wael W. Mohammed,
Naveed Iqbal
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x22400333
Subject(s) - brusselator , degenerate energy levels , mathematics , nonlinear system , noise (video) , reaction–diffusion system , space (punctuation) , diffusion , fractional calculus , stability (learning theory) , ordinary differential equation , mathematical analysis , differential equation , physics , computer science , thermodynamics , quantum mechanics , artificial intelligence , machine learning , image (mathematics) , operating system
In this paper, we present a class of stochastic system of fractional space diffusion equations forced by additive noise. Our goal here is to approximate the solutions of this system via a system of ordinary differential equations. Moreover, we study the influence of the same degenerate additive noise on the stability of the solutions of the stochastic system of fractional diffusion equations. We are interested in the systems that have nonlinear polynomial and give applications as Lotka–Volterra system from biology and the Brusselator model for the Belousov–Zhabotinsky chemical reaction from chemistry to illustrate our results.