{
  "id": "1711.07339",
  "version": "v1",
  "published": "2017-11-20T14:53:19.000Z",
  "updated": "2017-11-20T14:53:19.000Z",
  "title": "On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the $ψ$-Hilfer operator",
  "authors": [
    "J. Vanterler da C. Sousa",
    "E. Capelas de Oliveira"
  ],
  "comment": "22 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving the $\\psi$-Hilfer fractional derivative. In addition, we discuss the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions. A few examples are presented in order to illustrate the possible applications of our main results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-20T14:53:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "34A08",
      "34A34",
      "34D20"
    ],
    "keywords": [
      "nonlinear fractional differential equations",
      "ulam-hyers-rassias stability",
      "hilfer operator",
      "nonlinear cauchy problem",
      "hilfer fractional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}