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

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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… Click to show full abstract

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.

Keywords: time; fractional reaction; time fractional; reaction diffusion; approximate solutions

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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