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A novel fractional Moreau's sweeping process with applications

Author

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

Abstract

We investigate a novel category of Caputo fractional Moreau's sweeping process, formulated in a real Hilbert space, by the inclusion below−Dtα0cu(t)∈NΞ(t)(A(Dtα0cu(t))+Bu(t)). Our primary focus is to develop a framework for proving the unique solvability of the fractional Moreau's sweeping processes, namely, we deliver a fractional version of the Moreau's type catching-up algorithm for the sweeping process being considered. Moreover, the established abstract results are applied to investigate a complicated dynamical viscoelastic contact problem with fractional constitutive laws.

Suggested Citation

  • Faiz, Zakaria & Zeng, Shengda & Benaissa, Hicham, 2024. "A novel fractional Moreau's sweeping process with applications," Applied Mathematics and Computation, Elsevier, vol. 480(C).
    • Handle: RePEc:eee:apmaco:v:480:y:2024:i:c:s0096300324003783
    DOI: 10.1016/j.amc.2024.128917
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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.
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    1. Sarra Gaouir & Tahar Haddad & Lionel Thibault, 2024. "Prox-Regular Integro-Differential Sweeping Process," Journal of Optimization Theory and Applications, Springer, vol. 203(2), pages 1413-1438, November.

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