A novel fractional Moreau's sweeping process with applications

Zakaria Faiz, Shengda Zeng and Hicham Benaissa

Applied Mathematics and Computation, 2024, vol. 480, issue C

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.

Keywords: Fractional differential inclusion; Variational inequality; Sweeping process; Viscoelastic materials; Existence and uniqueness (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300324003783
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:apmaco:v:480:y:2024:i:c:s0096300324003783

DOI: 10.1016/j.amc.2024.128917

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().