{
  "abstract": "This paper is concerned with the maximal regularity theory for non-autonomous stochastic evolution equations with a generalized fractional derivative in UMD spaces. The generalized time-fractional derivative provides a unified framework covering both the classical Riemann-Liouville and Caputo fractional derivatives, which accommodates a wider class of anomalous diffusion processes with intermediate memory effects. Based on the singularities of the initial term and the stochastic convolution kernel, a time-weighted space and a regular-singular decomposition are used to obtain the well-posedness, space-time regularity, and stochastic maximal $L^p$-regularity results. Our results are applied to non-autonomous stochastic diffusion equation and stochastic fractional reaction-diffusion SIR model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32417",
  "author_total": 2,
  "authors": [
    {
      "name": "Lu Lu Tao"
    },
    {
      "name": "Jia Wei He"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/75py9xnnc3k2w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32417",
  "fulltext_url": null,
  "id": "75py9xnnc3k2w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32417",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Nonlinear Differential Equations Analysis"
    ]
  ],
  "openalex": "W7214728773",
  "pdf_url": "https://arxiv.org/pdf/2609.32417",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/75py9xnnc3k2w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.32417",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32417"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Stochastic maximal $L^p$-regularity for non-autonomous evolution equations with fractional derivative in UMD spaces",
  "title_text": "Stochastic maximal L^p-regularity for non-autonomous evolution equations with fractional derivative in UMD spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/75py9xnnc3k2w",
  "venue": "arXiv",
  "versions": []
}