Controllability of fractional stochastic neutral functional differential equations driven by fractional Brownian motion with infinite delay

2016/04/14 by Lakhel, El Hassan
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1604.04079

Abstract

In this paper we study the controllability of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion in a real separable Hilbert space. The controllability results are obtained by using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.

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