{
  "id": "1806.01922",
  "version": "v1",
  "published": "2018-05-28T23:17:56.000Z",
  "updated": "2018-05-28T23:17:56.000Z",
  "title": "Some analysis on a fractional differential equation involving a noncontinuous right-hand side",
  "authors": [
    "Müfit Şan",
    "Uğur Sert"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "By developing new techniques we establish local existence and uniqueness theorems for an initial value problem involving a nonlinear equation in the sense of Riemann-Liouville fractional derivative in the case that the nonlinear function on the right hand side of the equation is not continuous on $[0,T]\\times\\mathbb{R}.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-28T23:17:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A08",
      "37C25",
      "34A12",
      "74G20",
      "26A33"
    ],
    "keywords": [
      "fractional differential equation",
      "noncontinuous right-hand side",
      "right hand side",
      "initial value problem",
      "establish local existence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}