{
  "abstract": "In this paper, we consider an inverse random source problem for the stochastic Moore-Gibson-Thompson equation driven by fractional Brownian motion with Hurst index $H \\in (0, 1)$ of the form $f_1(x)g_1(t)\\dot{B}^H(t)+f_2(x)g_2(t)$. Given the random source, existence and uniqueness of mild solutions are verified. For the inverse problem, the uniqueness of recovering the strength $f_i(x)$ if the time functions $g_i$ are known and $g_i(t)$ if the spatial functions $f_i$ are known when $H \\in(0,1)$ from the boundary flux on a special nonempty open subset is proved.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08643",
  "author_total": 3,
  "authors": [
    {
      "name": "Lingxi Gao"
    },
    {
      "name": "Yeqiong Ye"
    },
    {
      "name": "Ting Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dx21vp4gwmph5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08643",
  "fulltext_url": null,
  "id": "dx21vp4gwmph5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08643",
  "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.AP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Differential Equations and Boundary Problems"
    ]
  ],
  "openalex": "W7212031499",
  "pdf_url": "https://arxiv.org/pdf/2609.08643",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dx21vp4gwmph5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.08643",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08643"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "An Inverse Random Source Problem for the Moore-Gibson-Thompson Equation Driven by Fractional Brownian Motion",
  "title_text": "An Inverse Random Source Problem for the Moore-Gibson-Thompson Equation Driven by Fractional Brownian Motion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/dx21vp4gwmph5",
  "venue": "arXiv",
  "versions": []
}