{
  "id": "0710.0145",
  "version": "v1",
  "published": "2007-09-30T15:00:11.000Z",
  "updated": "2007-09-30T15:00:11.000Z",
  "title": "Applications of integral transforms in fractional diffusion processes",
  "authors": [
    "Francesco Mainardi"
  ],
  "comment": "11 Pages. Paper with added notes based on an invited lecture: 3rd International ISAAC Congress, Free University of Berlin, 20-25 August 2001 (Sub-session 1.3: Integral Transforms and Applications)",
  "journal": "Integral Transforms and Special Functions, Vol 15, No 6, pp. 477-484 (2004)",
  "categories": [
    "math.PR",
    "math.CV"
  ],
  "abstract": "The fundamental solution (Green function) for the Cauchy problem of the space-time fractional diffusion equation is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. Then, by using the Mellin transform, a general representation of the Green function in terms of Mellin-Barnes integrals in the complex plane is derived. This allows us to obtain a suitable computational form of the Green function in the space-time domain and to analyse its probability interpretation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-30T15:00:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "33E12",
      "44A10",
      "33C60",
      "44A10",
      "45K05",
      "60G18"
    ],
    "keywords": [
      "fractional diffusion processes",
      "integral transforms",
      "green function",
      "applications",
      "space-time fractional diffusion equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0145M"
    }
  }
}