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Impact Of The Same Degenerate Additive Noise On A Coupled System Of Fractional Space Diffusion Equations

Author

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  • WAEL W. MOHAMMED

    (Department of Mathematics, College of Science, University of Ha’il, 81481, Saudi Arabia†Department of Mathematics, Faculty of Science, Mansoura University, Egypt)

  • NAVEED IQBAL

    (Department of Mathematics, College of Science, University of Ha’il, 81481, Saudi Arabia)

Abstract

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.

Suggested Citation

  • Wael W. Mohammed & Naveed Iqbal, 2022. "Impact Of The Same Degenerate Additive Noise On A Coupled System Of Fractional Space Diffusion Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-14, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22400333
    DOI: 10.1142/S0218348X22400333
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    Cited by:

    1. Wael W. Mohammed & Clemente Cesarano & Farah M. Al-Askar, 2022. "Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative," Mathematics, MDPI, vol. 11(1), pages 1-13, December.

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