{
  "id": "2210.04116",
  "version": "v1",
  "published": "2022-10-08T22:33:15.000Z",
  "updated": "2022-10-08T22:33:15.000Z",
  "title": "Distributed-order space-time fractional diffusions in bounded domains",
  "authors": [
    "Ngartelbaye Guerngar",
    "James McCormick"
  ],
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We provide explicit classical solutions and stochastic analogues for distributed-order space-time fractional diffusion equations on bounded domains with zero exterior boundary conditions. We also show that our results still hold when the mixing measure in the distributed-order time-derivative is singular.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-08T22:33:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded domains",
      "distributed-order space-time fractional diffusion equations",
      "zero exterior boundary conditions",
      "explicit classical solutions",
      "stochastic analogues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}