{
  "abstract": "‎Investigating the existence and stability of solutions in nonlinear and discrete cases of fractional differential equations is always useful for complex applied problems‎. ‎In the current work‎, ‎we discuss the existence of a solution to a coupled nonlinear system of fractional quantum differential equations involving quantum integrals and derivatives‎. ‎We prove the existence and uniqueness of solutions by using some classical fixed point theorems in nonlinear analysis‎, ‎such as Schaefer's fixed point‎. ‎Also‎, ‎we define the Mittag-Leffler-Ulam stability and study the stability of solutions for the proposed system‎. ‎Of course‎, ‎some examples are demonstrated to confirm our main results for the system‎. ‎Moreover‎, ‎a conclusion is given in the last section‎.",
  "abstract_shown": true,
  "affiliations": [
    "‎Department of Mathematics‎, ‎Faculty of Sciences of Matter and Computer Sciences, Khemis Miliana University‎, ‎Algeria,",
    "‎Laboratory‎, ‎FIMA‎, ‎UDBKM, Khemis Miliana University‎, ‎Algeria",
    "‎Department of Mathematics‎, ‎Faculty of Science‎, ‎Bu-Ali Sina University, Hamedan‎, I. R. ‎Iran"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Mohamed Bezziou"
    },
    {
      "affs": [
        1
      ],
      "name": "Mohamed Houas"
    },
    {
      "affs": [
        2
      ],
      "name": "Mohammad Esmael Samei"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/30nj14reygpd6.bib",
  "cited_by": 0,
  "doi": "10.22052/mir.2026.258296.1567",
  "fulltext_url": null,
  "id": "30nj14reygpd6",
  "issns": [
    "2476-4965"
  ],
  "landing_url": "https://doi.org/10.22052/mir.2026.258296.1567",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ],
    [
      "openalex",
      "2604|Nonlinear Differential Equations Analysis"
    ]
  ],
  "openalex": "W7223652955",
  "pdf_url": "https://mir.kashanu.ac.ir/article_115851_17e850f0e19a578b9f98c6db5818c93d.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": "University of Kashan",
  "ris": "https://research.draconitic.com/paper/30nj14reygpd6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:44:39Z",
      "native_id": "39d46327d4c3469aa4bd2f2f4051925d",
      "source": "doaj",
      "url": "https://doi.org/10.22052/mir.2026.258296.1567"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Nonlinear Differential Equations Analysis",
      "subfield": "general"
    }
  ],
  "title": "A Nonlinear Fractional Quantum Coupled System: Existence and Mittag-Leffler Ulam-Hyers Stability",
  "title_text": "A Nonlinear Fractional Quantum Coupled System: Existence and Mittag-Leffler Ulam-Hyers Stability",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:44:39Z",
  "url": "https://research.draconitic.com/paper/30nj14reygpd6",
  "venue": "Mathematics Interdisciplinary Research",
  "versions": []
}