{
  "id": "1206.3996",
  "version": "v1",
  "published": "2012-06-18T17:19:21.000Z",
  "updated": "2012-06-18T17:19:21.000Z",
  "title": "Existence and Uniqueness of Solution to a Functional Integro-differential Fractional Equation",
  "authors": [
    "Moulay Rchid Sidi Ammi",
    "El Hassan El Kinani",
    "Delfim F. M. Torres"
  ],
  "comment": "Submitted 27-Jan-2012; accepted 18-Jun-2012; for publication in the Electronic Journal of Differential Equations (http://ejde.math.txstate.edu)",
  "journal": "Electron. J. Differential Equations 2012 (2012), no. 103, 1--9",
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove, using a fixed point theorem in a Banach algebra, an existence result for a fractional functional differential equation in the Riemann-Liouville sense. Dependence of solutions with respect to initial data and an uniqueness result are also derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-18T17:19:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "47H10"
    ],
    "keywords": [
      "functional integro-differential fractional equation",
      "fractional functional differential equation",
      "uniqueness result",
      "initial data",
      "existence result"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.3996R"
    }
  }
}