Controllability of a stochastic functional differential equation driven by a fractional Brownian motion

Abstract Let U, V and W be three Hilbert spaces and let BH $B^{H}$ be a W-valued fractional Brownian motion with Hurst index H∈(12,1) $H\in(\frac{1}{2},1)$. In this paper, we consider the approximate controllability of the Sobolev-type fractional stochastic differential equation {Dtαc[Lx(t)]=Ax(t)+f...

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Bibliographic Details
Main Authors: Jingqi Han, Litan Yan
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1565-3