{
  "abstract": "We study stochastic differential equations driven by the fractional Riemann-Liouville process with Hurst parameter $H\\in(0,1)$, whose drift is the sum of a possibly distributional vector field $b$ and a smooth, one-sided Lipschitz, dissipative vector field $F$ with coercivity of order $k+1$ and polynomially growing derivatives. If $b \\in \\mathcal{C}^γ(\\mathbb{R}^d;\\mathbb{R}^d)$ for some $γ<1$ satisfying $γ>\\max\\{1-1/(2H),2-1/H\\}$, and if $H+1/(k-1)>(1-γ)H/2$, we construct a solution by smooth approximation and prove uniqueness in a class defined through local comparison with the flow generated by the dissipative drift. We also establish quantitative temporal regularity and stability estimates. The proof combines a conditional decomposition of fractional Brownian motion, Malliavin integration by parts, uniform non-degeneracy estimates for the regularising flow, and the stochastic sewing lemma.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23113",
  "author_total": 3,
  "authors": [
    {
      "name": "Konstantinos Dareiotis"
    },
    {
      "name": "El Mehdi Haress"
    },
    {
      "name": "Khoa Lê"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6pq7csjdk8t47.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23113",
  "fulltext_url": null,
  "id": "6pq7csjdk8t47",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23113",
  "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.PR"
    ],
    [
      "openalex",
      "2003|Stochastic processes and financial applications"
    ]
  ],
  "openalex": "W7222938966",
  "pdf_url": "https://arxiv.org/pdf/2610.23113",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6pq7csjdk8t47.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23113",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23113"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Regularising Flows and Singular Fractional SDEs with Superlinear Dissipation",
  "title_text": "Regularising Flows and Singular Fractional SDEs with Superlinear Dissipation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/6pq7csjdk8t47",
  "venue": "arXiv",
  "versions": []
}