Integro-Differential BV Prox-Regular Sweeping Process

Recently, diverse articles studied integro-differential sweeping processes whose multimapping defining the moving set takes prox-regular values and is absolutely continuous. Here, we deal with the situation where this multimapping is bounded in variation. Then, we establish the existence and uniqueness of right continuous solution with bounded variation. An application to electrical circuits with high-power fractional-order capacitors is provided.