Well-posedness of a class of Caputo–Katugampola fractional sweeping processes
Zakaria Faiz,
Shengda Zeng and
Hicham Benaissa
Chaos, Solitons & Fractals, 2025, vol. 193, issue C
Abstract:
We analyze a class of Caputo–Katugampola fractional sweeping processes in a real Hilbert space, described by the inclusion −0cDtα,ρu(t)∈Nκ(t)(A(0cDtα,ρu(t))+Bu(t)).The study focuses on establishing the well-posedness of the problem, specifically proving the existence and uniqueness of solutions. These findings are then applied to a viscoelastic contact model described by Caputo–Katugampola fractional constitutive laws. The proposed approach is further validated through numerical simulations, demonstrating its effectiveness and practical relevance.
Keywords: Fractional Moreau’s sweeping process; Fractional differential inclusion; Dynamic viscoelastic contact problems; Numerical simulations (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925001031
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001031
DOI: 10.1016/j.chaos.2025.116090
Access Statistics for this article
Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros
More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().