{
  "id": "1308.2461",
  "version": "v1",
  "published": "2013-08-12T04:34:57.000Z",
  "updated": "2013-08-12T04:34:57.000Z",
  "title": "Space-time fractional diffusion equations and asymptotic behaviors of a coupled continuous time random walk model",
  "authors": [
    "Long Shi",
    "Zuguo Yu",
    "Zhi Mao",
    "Aiguo Xiao",
    "Hailan Huang"
  ],
  "comment": "8 pages; Physica A (2014)",
  "journal": "Physica A, 392: (2013) 5801-5807",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we consider a type of continuous time random walk model where the jump length is correlated with the waiting time. The asymptotic behaviors of the coupled jump probability density function in the Fourier-Laplace domain are discussed. The corresponding fractional diffusion equations are derived from the given asymptotic behaviors. Corresponding to the asymptotic behaviors of the joint probability density function in the Fourier-Laplace space, the asymptotic behaviors of the waiting time probability density and the conditional probability density for jump length are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-12T04:34:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A08",
      "26A33",
      "28A80"
    ],
    "keywords": [
      "continuous time random walk model",
      "coupled continuous time random walk",
      "asymptotic behaviors",
      "space-time fractional diffusion equations",
      "probability density function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}