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Well-posedness of a class of Caputo–Katugampola fractional sweeping processes

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  • Faiz, Zakaria
  • Zeng, Shengda
  • Benaissa, Hicham

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.

Suggested Citation

  • Faiz, Zakaria & Zeng, Shengda & Benaissa, Hicham, 2025. "Well-posedness of a class of Caputo–Katugampola fractional sweeping processes," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001031
    DOI: 10.1016/j.chaos.2025.116090
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    References listed on IDEAS

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    1. Abderrahim Bouach & Tahar Haddad & Lionel Thibault, 2022. "On the Discretization of Truncated Integro-Differential Sweeping Process and Optimal Control," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 785-830, June.
    2. Faiz, Zakaria & Zeng, Shengda & Benaissa, Hicham, 2024. "A novel fractional Moreau's sweeping process with applications," Applied Mathematics and Computation, Elsevier, vol. 480(C).
    3. Baleanu, Dumitru & Wu, Guo–Cheng & Zeng, Sheng–Da, 2017. "Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 99-105.
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