This research explores existence and uniqueness of solutions in bounded variation systems, indicating applicability to electrical circuits.
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.
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Haddad et al. (2025) studied this question.
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