{
  "id": "1704.02462",
  "version": "v1",
  "published": "2017-04-08T09:42:29.000Z",
  "updated": "2017-04-08T09:42:29.000Z",
  "title": "Existence and continuation of solutions of Hilfer fractional differential equations",
  "authors": [
    "D. B. Dhaigude",
    "Sandeep P. Bhairat"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we study the existence and continuation of solution to general fractional differential equation with Hilfer fractional derivative. First we establish new local existence theorems. Then we derive the continuation theorems. With the help of continuation theorems derived in this paper, several global existence results are constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-08T09:42:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "34A12",
      "34A08"
    ],
    "keywords": [
      "hilfer fractional differential equations",
      "general fractional differential equation",
      "continuation theorems",
      "global existence results",
      "local existence theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}