Asymptotic Stability of Fractional Impulsive Neutral Stochastic Partial Integro-differential Equations with State-dependent Delay
نویسندگان
چکیده
In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of fractional impulsive partial neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces. We assume that the linear part of this equation generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence and asymptotic stability of solutions are derived by means of the Krasnoselskii-Schaefer type fixed point theorem and properties of the αresolvent operator. An illustrative example is also provided.
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