{
  "id": "1806.01441",
  "version": "v1",
  "published": "2018-06-05T00:18:21.000Z",
  "updated": "2018-06-05T00:18:21.000Z",
  "title": "Existence, uniqueness, estimation and continuous dependence of the solutions of a nonlinear integral and an integrodifferential equations of fractional order",
  "authors": [
    "J. Vanterler da C. Sousa",
    "E. Capelas de Oliveira"
  ],
  "comment": "20 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "By means of two fractional order integral inequalities we investigate the existence and uniqueness of the solutions of the fractional nonlinear Volterra integral equation and a fractional nonlinear integrodifferential equation in Banach space $C_{\\xi}$, using an adequate norm, $||\\cdot||_{\\xi,\\infty}$. We estimate the solutions and investigate their continuous dependence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-05T00:18:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "34A08",
      "34A12",
      "34A60",
      "34G20"
    ],
    "keywords": [
      "fractional order",
      "continuous dependence",
      "nonlinear integral",
      "fractional nonlinear volterra integral equation",
      "uniqueness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}