Existence of Mild Solutions for Impulsive Fractional Stochastic Differential Inclusions with State-Dependent Delay

الملخص EN

We study the existence of mild solutions for a class of impulsive fractional stochastic differential inclusions with state-dependent delay.

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.

An example is given to illustrate the theory.