Existence and controllability results for impulsive stochastic integro-differential inclusions with infinite delay

In this study, the existence and controllability of impulsive stochastic integro-differential inclusions with infinite delay are investigated. By employing the measure of noncompactness technique, resolvent operator solution in the sense of Grimmer and the fixed-point theorem of condensing multivalued maps, the exact controllability is guaranteed. At the end, an example is presented to illustrate the obtained result.