Controllability of Stochastic Impulsive Neutral Functional Differential Equations Driven by Fractional Brownian Motion with Infinite Delay

On time-dependent neutral stochastic evolution equations with a fractional Brownian motion and infinite delays

In this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional Brownian motion in a Hilbert space. We establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz conditions with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Impulsive neutral stochastic functional integro-differential equations with infinite delay driven by fBm

In this paper, we study a class of impulsive neutral stochastic functional integro-differential equations with infinite delay driven by a standard cylindrical Wiener process and an independent cylindrical fractional Brownian motion (fBm) with Hurst parameter H 2 ð1=2; 1Þ in the Hilbert space. We prove the existence and uniqueness of the mild solution for this kind of equations with the coeffici...

existence and measurability of the solution of the stochastic differential equations driven by fractional brownian motion

Controllability of Damped Second-Order Neutral Impulsive Stochastic Functional Differential Systems with Infinite Delay

In this paper we study the controllability of damped second order neutral impulsive stochastic functional differential system with infinite delay in Hilbert spaces. Sufficient conditions for controllability results are obtained by using the theory of cosine families of bounded linear operators and fixed point technique. An example is provided to illustrate the theory.