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Approximate controllability for semi-linear retarded stochastic systems with Lévy noise

In this paper, the results of the paper[1] are generalized. We investigate the approximate controllability for semi-linear retarded stochastic systems with Hilbert space valued Lévy noise. We apply the result that the Lévy noise in Hilbert space be present as the sum of the series to investigate the approximate controllability for retarded stochastic systems. Using the semi-group approach, Sufficient conditions for approximate controllability results are established for this stochastic systems.