APPROXIMATE CONTROLLABILITY OF FRACTIONAL STOCHASTIC FUNCTIONAL EVOLUTION EQUATIONS DRIVEN BY A FRACTIONAL BROWNIAN MOTION

摘要

In this paper, the approximate controllability result of a class of dynamic control systems described by nonlinear fractional stochastic functional differential equations in Hilbert space driven by a fractional Brownian motion with Hurst parameter H > 1/2 has been established and discussed by using the theory of fractional calculus, fixed point tech- nique, stochastic analysis technique and methods adopted directly from deterministic control problems. As an application that illustrates the abstract results, an example is given.