Work

Integro-Differential BV Prox-Regular Sweeping Process

Year: 2025

Type: article

Abstract: 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.

Source: ESAIM Control Optimisation and Calculus of Variations

DOI: 10.1051/cocv/2025054

Authors: Tahar Haddad, Sarra Gaouir, Lionel Thibault

Institutions: University of Jijel, Université de Montpellier, Institut Montpelliérain Alexander Grothendieck

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

OpenAlex ID: W4411259083

FWCI: 1.886

Cites: 21

Cited by: 1

Related to: 10