{
  "id": "1806.01442",
  "version": "v1",
  "published": "2018-06-05T00:24:43.000Z",
  "updated": "2018-06-05T00:24:43.000Z",
  "title": "On the existence and stability for impulsive fractional integrodifferential equation",
  "authors": [
    "J. Vanterler da C. Sousa",
    "D. S. Oliveira",
    "E. Capelas de Oliveira"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, by means of Banach fixed point theorem, we investigate the existence and Ulam-Hyers-Rassias stability of the impulsive integrodifferential equation by means of $\\psi$-Hilfer fractional derivative. In this sense, some examples are presented, in order to consolidate the results obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-05T00:24:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "34A08",
      "34A12",
      "34K20",
      "34G20"
    ],
    "keywords": [
      "impulsive fractional integrodifferential equation",
      "banach fixed point theorem",
      "ulam-hyers-rassias stability",
      "impulsive integrodifferential equation",
      "hilfer fractional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}