Controllability of neutral stochastic evolution equations driven by fBm with Hurst parameter less than 1/2

Zhi Li, Yuan Yuan Jing and Liping Xu

International Journal of Systems Science, 2019, vol. 50, issue 9, 1835-1846

Abstract: In this paper, we investigate the controllability for a class of neutral stochastic evolution equations driven by fractional Brownian motion with Hurst parameter $H\in (0,1/2) $H∈(0,1/2) in a Hilbert space. By using the stochastic analysis of fractional Brown motion with Hurst parameter $H\in (0,1/2) $H∈(0,1/2), the properties of operator semigroup and the Banach fixed point theorem, the sufficient conditions for the controllability of the considered equations are obtained. In the end, one example is given to illustrate the feasibility and effectiveness of the obtained results.

Date: 2019
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DOI: 10.1080/00207721.2019.1645231

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