Analysis reveals exact controllability of impulsive stochastic integro-differential inclusions, suggesting novel approaches using fixed-point theorems.
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.
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Melati et al. (2025) studied this question.
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