Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions

Autor:	Thongchai Botmart, Naveed Iqbal, Wael Wagih Mohammed
Rok vydání:	2022
Předmět:	stochastic fractional-space approximate solutions fractional Laplacian limiting equation General Mathematics QA1-939 Computer Science (miscellaneous) Engineering (miscellaneous) Mathematics
Zdroj:	Mathematics, Vol 10, Iss 130, p 130 (2022) Mathematics; Volume 10; Issue 1; Pages: 130
ISSN:	2227-7390
DOI:	10.3390/math10010130
Popis:	This paper considers a class of stochastic fractional-space diffusion equations with polynomials. We establish a limiting equation that specifies the critical dynamics in a rigorous way. After this, we use the limiting equation, which is an ordinary differential equation, to approximate the solution of the stochastic fractional-space diffusion equation. This equation has never been studied before using a combination of additive noise and fractional-space, therefore we generalize some previously obtained results as special cases. Furthermore, we use Fisher’s and Ginzburg–Landau equations to illustrate our results. Finally, we look at how additive noise affects the stabilization of the solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a3ada1127c88ea9432e2b3da7dc221d https://doi.org/10.3390/math10010130 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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