{
  "id": "1704.02174",
  "version": "v1",
  "published": "2017-04-07T10:35:54.000Z",
  "updated": "2017-04-07T10:35:54.000Z",
  "title": "Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations",
  "authors": [
    "D. B. Dhaigude",
    "Sandeep P. Bhairat"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The Cauchy-type problem for a nonlinear differential equation involving Hilfer fractional derivative is considered. We prove existence, uniqueness and continuous dependence of a solution for Cauchy-type problem using successive approximations and generalized Gronwall inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-07T10:35:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "34A12",
      "34A08"
    ],
    "keywords": [
      "hilfer fractional differential equations",
      "cauchy-type problem",
      "uniqueness",
      "nonlinear differential equation",
      "generalized gronwall inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}