| Issue |
ESAIM: COCV
Volume 31, 2025
|
|
|---|---|---|
| Article Number | 66 | |
| Number of page(s) | 40 | |
| DOI | https://doi.org/10.1051/cocv/2025054 | |
| Published online | 05 August 2025 | |
Integro-Differential BV Prox-Regular Sweeping Process
1
Laboratoire LMPEA, Faculté des Sciences Exactes et Informatique, Université Mohammed Seddik Benyahia,
Jijel,
B.P. 98,
Jijel
18000,
Algeria
2
Université de Montpellier, Institut Montpelliérain Alexander Grothendieck
34095
Montpellier CEDEX 5
France
* Corresponding author: haddadtr2000@yahoo.fr
Received:
18
May
2024
Accepted:
10
June
2025
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.
Mathematics Subject Classification: 34A60 / 49J52 / 49J24 / 49J53
Key words: Sweeping process / bounded in variation mapping / normal cone / prox-regular set / Volterra integral perturbation
© The authors. Published by EDP Sciences, SMAI 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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