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
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001031

DOI: 10.1016/j.chaos.2025.116090

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