{
  "abstract": "Owing to the non-ideal properties of the Green’s function associated with the boundary value problem of Caputo-Hadamard fractional differential equations, a complete theoretical framework for studying such solutions has remained elusive. To address this challenge, this paper introduces novel substitutions and conducts a meticulous analysis of the Green’s function’s properties. This approach enables us to successfully derive the maximum and minimum iterative solutions for a singular p-Laplacian Caputo-Hadamard fractional differential equation. Subsequently, by employing the theory of mixed monotone operators, we establish the existence and uniqueness of positive solutions. Furthermore, we demonstrate that the unique solution uλ⋆ ${u}_{\\lambda }^{\\star }$ is parameter-dependent, exhibiting the asymptotic behavior limλ→∞‖uλ⋆‖=0 ${\\mathrm{lim}}_{\\lambda \\to \\infty }{\\Vert}{u}_{\\lambda }^{\\star }{\\Vert}=0$ and limλ→0+‖uλ⋆‖=∞ ${\\mathrm{lim}}_{\\lambda \\to {0}^{+}}{\\Vert}{u}_{\\lambda }^{\\star }{\\Vert}=\\infty $ . The validity of our main theoretical findings is confirmed through a numerical example, with graphical illustrations depicting the solution’s variation with the parameter.",
  "abstract_shown": true,
  "affiliations": [
    "School of Sciences, Changzhou Institute of Technology, Changzhou213002, Jiangsu, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Guo Limin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8vg352dnzky8x.bib",
  "cited_by": 0,
  "doi": "10.1515/dema-2025-0320",
  "fulltext_url": "https://doi.org/10.1515/dema-2025-0320",
  "id": "8vg352dnzky8x",
  "issns": [
    "2391-4661"
  ],
  "landing_url": "https://doi.org/10.1515/dema-2025-0320",
  "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": "W7223242672",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": "De Gruyter",
  "ris": "https://research.draconitic.com/paper/8vg352dnzky8x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:47:18Z",
      "native_id": "22fa55bc73204634838df21669324494",
      "source": "doaj",
      "url": "https://doi.org/10.1515/dema-2025-0320"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Nonlinear Differential Equations Analysis",
      "subfield": "general"
    }
  ],
  "title": "Extremal and uniqueness results for a singular p-Laplacian Caputo-Hadamard fractional equation involving parameter dependence",
  "title_text": "Extremal and uniqueness results for a singular p-Laplacian Caputo-Hadamard fractional equation involving parameter dependence",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:47:18Z",
  "url": "https://research.draconitic.com/paper/8vg352dnzky8x",
  "venue": "Demonstratio Mathematica",
  "versions": []
}