Existence of Solutions to Impulsive Fractional Partial Neutral Stochastic Integro-differential Inclusions with State-dependent Delay
نویسندگان
چکیده
We study the existence of mild solutions for a class of impulsive fractional partial neutral stochastic integro-differential inclusions with statedependent delay. We assume that the undelayed part generates a solution operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by using the nonlinear alternative of Leray-Schauder type for multivalued maps due to O’Regan and properties of the solution operator. An example is given to illustrate the theory.
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