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Approximate solutions for stochastic time-fractional reaction-diffusion equations with multiplicative noise
Journal article   Peer reviewed

Approximate solutions for stochastic time-fractional reaction-diffusion equations with multiplicative noise

Wael W. Mohammed
Mathematical methods in the applied sciences, Vol.44(2), pp.2140-2157
30/01/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the approximate solutions of time-fractional reaction-diffusion equations forced by multiplicative noise on a bounded domain. When the diffusion is large, one can approximate the solutions of the stochastic time-fractional reaction-diffusion equations with polynomial term by the solutions of a stochastic time-fractional ordinary equations. We illustrate our results by applying to time-fractional logistic and time-fractional Ginzburg-Landau equations.

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