{
  "abstract": "This paper investigates a stochastic multiscale subdiffusion model driven by fractional Gaussian noise, where the multiscale Abel kernel with variable exponent $α(t)\\in(0,1)$ is used to capture multiscale and crossover behavior in anomalous diffusion. The main difficulties of this model lie in the complexity of the multiscale Abel kernel (e.g. non-monotonicity and non-coercivity) and the low regularity caused by the noise. Concerning these issues, we prove the well-posedness and regularity of the mild solutions by means of solution operator approach and a perturbation technique for multiscale Abel kernel. Then both the semidiscrete-in-time and fully-discrete numerical schemes are proposed and analyzed under the low-regularity numerical analysis framework, with proved temporal and spatial convergence rates. Numerical experiments are presented to substantiate the theoretical results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29533",
  "author_total": 5,
  "authors": [
    {
      "name": "Jincheng Dong"
    },
    {
      "name": "Ning Du"
    },
    {
      "name": "Xu Guo"
    },
    {
      "name": "Mengmeng Liu"
    },
    {
      "name": "Xiangcheng Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/avjffzdgjprbp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29533",
  "fulltext_url": null,
  "id": "avjffzdgjprbp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29533",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
    ]
  ],
  "openalex": "W7204967154",
  "pdf_url": "https://arxiv.org/pdf/2608.29533",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/avjffzdgjprbp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29533",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29533"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Analysis and Approximation of Stochastic Multiscale Subdiffusion Driven by Fractional Gaussian Noise",
  "title_text": "Analysis and Approximation of Stochastic Multiscale Subdiffusion Driven by Fractional Gaussian Noise",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/avjffzdgjprbp",
  "venue": "arXiv",
  "versions": []
}