Abstract
The aim of this work is to study the stability for some integro-differential equations with impulses driven by fractional Brownian motion with noncompact semigroup in Hilbert spaces. We assume that...
Highlights
In the past decades, the theory of the nonlinear functional differential or integro-differential equations with resolvent operators has become an active area of investigation due to their applications in many physical phenomena
In this paper, we discuss the stabi lity of stability for some integro-differential equations with impulses driven by fractional Brownian motion with noncompact semigroup in Hilbert spaces
Up to now impulsive neutral stochastic functional integro-differential equations driven by Fractional Brownian motion (fBm) with noncompact semigroups in Hilbert spaces have not been considered in the literature
Summary
The theory of the nonlinear functional differential or integro-differential equations with resolvent operators has become an active area of investigation due to their applications in many physical phenomena. The resolvent operator is similar to the semigroup operator for abstract differential equations in Banach spaces.
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