Controllability of Time-dependent Neutral Stochastic Functional Differential Equations Driven by a Fractional Brownian Motion

Abstract

In this paper we consider the controllability of certain class of non-autonomous neutral evolution stochastic functional differential equations, with time varying delays, driven by a fractional Brownian motion in a separable real Hilbert space. Sufficient conditions for controllability are obtained by employing a fixed point approach. A practical example is provided to illustrate the viability of the abstract result of this work.

15 pages. arXiv admin note: substantial text overlap with arXiv:1401.2555, arXiv:1503.07985