{
  "id": "2004.13020",
  "version": "v1",
  "published": "2020-04-26T22:52:14.000Z",
  "updated": "2020-04-26T22:52:14.000Z",
  "title": "Fractional Fokker-Planck equations for subdiffusion and exceptional orthogonal polynomials",
  "authors": [
    "C. -L. Ho"
  ],
  "comment": "6 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1207.6001",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "It is pointed out that, for the fractional Fokker-Planck equation for subdiffusion proposed by Metzler, Barkai, and Klafter [Phys. Rev. Lett. 82 (1999) 3563], there are four types of infinitely many exact solutions associated with the newly discovered exceptional orthogonal polynomials. They represent fractionally deformed versions of the Rayleigh process and the Jacobi process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-26T22:52:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional fokker-planck equation",
      "exceptional orthogonal polynomials",
      "subdiffusion",
      "rayleigh process",
      "represent fractionally deformed versions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}