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Doubly Perturbed Neutral Stochastic Functional Equations Driven by Fractional Brownian Motion
Authors:Zhi Li & Liping Xu
Abstract:In this paper, we study a class of doubly perturbed neutral stochastic functional equations driven by fractional Brownian motion. Under some non-Lipschitz conditions, we will prove the existence and uniqueness of the solution to these equations by providing a semimartingale approximation of a fractional stochastic integration.
Keywords:Fractional Brownian motion                                                                                                doubly perturbed neutral functional equations                                                                                                non-Lipschitz condition
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