Existence of solutions for a impulsive nonlocal stochastic functional integrodifferential inclusion in Hilbert spaces

Abstract

This paper discusses a class of impulsive nonlocal stochastic functional integrodifferential inclusions in a real separable Hilbert space. The existence of mild solutions of these inclusions is determined under the mixed continuous and Caratheodory conditions by using Bohnenblust–Karlin’s fixed point theorem and fractional operators combined with approximation techniques. An example is provided to illustrate the theory.