Exact Controllability Results of Non-Instantaneous Impulsive Stochastic Integro-differential Equations Driven by a Fractional Brownian Motion

Samiha Mouchir, Abdeldjalil Slama

Abstract


This paper discusses the exacte controllability of a class of non-instantaneous
impulsive stochastic integro-differential equations driven by a fractional Brownian motion
with nonlocal conditions in a Hilbert space. The results are based on generalized Darbo's
fixed point theorem with use of the Kuratowskii's measure of non-compactness
and a resolvent operator. Examples are given to illustrate the effectiveness
of the proposed results.

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