{
  "abstract": "In this paper, we consider an age-structured jump model that arises as a description of continuous time random walks with infinite mean waiting time between jumps. We prove that under a suitable rescaling, this equation converges in the long time large scale limit to a time fractional subdiffusion equation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2601.08650",
  "author_total": 4,
  "authors": [
    {
      "name": "Hugues Berry"
    },
    {
      "name": "Pierre Gabriel"
    },
    {
      "name": "Thomas Lepoutre"
    },
    {
      "name": "Nathan Quiblier"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f9r0ztr2ktc3n.bib",
  "cited_by": 0,
  "doi": "10.3934/dcdss.2026160",
  "fulltext_url": null,
  "id": "f9r0ztr2ktc3n",
  "issns": [
    "1937-1632",
    "1937-1179"
  ],
  "landing_url": "https://hal.science/hal-05456904v3",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-ap"
    ],
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
    ]
  ],
  "openalex": "W7124228187",
  "pdf_url": "https://hal.science/hal-05456904/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": "American Institute of Mathematical Sciences",
  "ris": "https://research.draconitic.com/paper/f9r0ztr2ktc3n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:40Z",
      "native_id": "hal-05456904",
      "source": "hal",
      "url": "https://hal.science/hal-05456904v3"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ap",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Subdiffusive fractional limit of a jump-renewal equation",
  "title_text": "Subdiffusive fractional limit of a jump-renewal equation",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:40Z",
  "url": "https://research.draconitic.com/paper/f9r0ztr2ktc3n",
  "venue": "Discrete and Continuous Dynamical Systems - Series S",
  "versions": []
}