Nonconvex integro-differential sweeping processes involving maximal monotone operators

This paper is devoted to the study of a perturbed differential inclusion governed by nonconvex sweeping process in Hilbert space. The sum an integral forcing term which integrand depends on two time-variables and maximal monotone operator. By using semiregularization method combined with new Pachpatte inequality Gronwall-like we prove solvability initial value problem.