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Brownian Motion Effects on the Stabilization of Stochastic Solutions to Fractional Diffusion Equations with Polynomials
Journal article   Open access  Peer reviewed

Brownian Motion Effects on the Stabilization of Stochastic Solutions to Fractional Diffusion Equations with Polynomials

Wael Mohammed, Mohammed Alshammari, Clemente Cesarano, Sultan Albadrani and M El-Morshedy
Mathematics (Basel), Vol.10(9), p.1458
26/04/2022
DOI: https://doi.org/10.3390/math10091458

Abstract

Bioengineering Biology Brownian movements Chemical engineering Conflicts of interest Ecological effects Exact solutions Mathematical analysis Motion effects Noise Polynomials Stabilization
A class of stochastic fractional diffusion equations with polynomials is considered in this article. This equation is used in numerous applications, such as ecology, bioengineering, biology, and mechanical and chemical engineering. As a result, it is critical to obtain exact solutions to this equation. To obtain these solutions, the tanh-coth method is utilized. Furthermore, we clarify the impact of noise on solution stabilization by simulating our solutions.
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https://doi.org/10.3390/math10091458View
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