{
  "id": "2012.12003",
  "version": "v1",
  "published": "2020-12-22T13:45:31.000Z",
  "updated": "2020-12-22T13:45:31.000Z",
  "title": "Fractional Cauchy problem on random snowflakes",
  "authors": [
    "Raffaela Capitanelli",
    "Mirko D'Ovidio"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We consider time-changed Brownian motions on random Koch (pre-fractal and fractal) domains where the time change is given by the inverse to a subordinator. In particular, we study the fractional Cauchy problem with Robin condition on the pre-fractal boundary obtaining asymptotic results for the corresponding fractional diffusions with Robin, Neumann and Dirichlet boundary conditions on the fractal domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-22T13:45:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional cauchy problem",
      "random snowflakes",
      "pre-fractal boundary obtaining asymptotic results",
      "dirichlet boundary conditions",
      "time change"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}