Abstract:This work is devoted to establish the optimal solutions of optimal control problems for a class of fractional impulsive stochastic integro-differential inclusions with Rosenblatt process and infinite delay in Hilbert spaces. Firstly, using the fractional calculus, the measure of noncom-pactness, properties of fractional resolvent operators and a fixed-point theorem, the existence of mild solutions for these systems is presented. Secondly, the existence of approximate solutions of optimal control problems witho… Show more
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