{
  "abstract": "This paper investigates a coupled system of two-dimensional singular fractional partial differential equations within a bounded domain. The system is defined by Neumann boundary conditions, non-local weighted integral constraints, memory terms, Caputo fractional derivatives, and a Bessel operator. Physically, the model captures memory effects, linear dissipation, and thermoelastic coupling to describe anomalous diffusion-wave dynamics and fractional viscoelastic thermoelasticity in cylindrically symmetric media. By developing a functional framework based on weighted Sobolev spaces and utilizing energy methods with integro-differential operators, we obtain essential a priori estimates. These estimates ensure that the solutions are unique and continuously dependent on the data. Furthermore, we establish the existence of solutions by demonstrating that the associated operator has a dense range and a trivial orthogonal complement. Ultimately, this study makes a substantial contribution to the well-posedness theory of singular fractional thermoelastic models subject to nonlocal conditions.",
  "abstract_shown": true,
  "affiliations": [
    "Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Said Mesloub",
      "orcid": "0000-0002-2018-0382"
    },
    {
      "affs": [
        0
      ],
      "name": "Rowaida Alrajhi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e8wrs02nkh9s9.bib",
  "cited_by": 0,
  "doi": "10.3390/math14203662",
  "fulltext_url": null,
  "id": "e8wrs02nkh9s9",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/20/3662",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
    ]
  ],
  "openalex": "W7221168101",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/e8wrs02nkh9s9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14203662",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/20/3662"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2611|Fractional Differential Equations Solutions",
      "subfield": "general"
    }
  ],
  "title": "A Coupled Singular Fractional Integro-Differential System with Bessel Operator: Existence, Uniqueness, and Stability",
  "title_text": "A Coupled Singular Fractional Integro-Differential System with Bessel Operator: Existence, Uniqueness, and Stability",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/e8wrs02nkh9s9",
  "venue": "Mathematics",
  "versions": []
}