Approximate solutions for stochastic time‐fractional reaction–diffusion equations with multiplicative noise
Wael W. Mohammed
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.
Topics & Concepts
MathematicsMultiplicative noiseFractional calculusMultiplicative functionBounded functionReaction–diffusion systemDiffusionLogistic functionApplied mathematicsMathematical analysisDomain (mathematical analysis)Noise (video)StatisticsPhysicsImage (mathematics)Computer scienceAnalog signalEngineeringArtificial intelligenceSignal transfer functionThermodynamicsDigital signal processingElectrical engineeringFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations