In this paper,we investigate the controllability for neutral stochastic evolution equations driven by fractional Brownian motion with Hurst parameter H ∈(1/2,1) in a Hilbert space.We employ the α-norm in order to reflect the relationship between H and the fractional power α.Sufficient conditions are established by using stochastic analysis theory and operator theory.An example is provided to illustrate the effectiveness of the proposed result.
In this paper,we consider the power variation of subfractional Brownian motion.As an application,we introduce a class of estimators for the index of a subfractional Brownian motion and show that they are strongly consistent.
