{
  "id": "1601.06121",
  "version": "v1",
  "published": "2015-12-11T21:12:28.000Z",
  "updated": "2015-12-11T21:12:28.000Z",
  "title": "New Derivatives on Fractal Subset of Real-line",
  "authors": [
    "Alireza Khalili Golmankhaneh",
    "Dumitru Baleanu"
  ],
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets. The non-local Laplace transformation is given and applied for solving linear and non-linear fractal equations. The advantage of using these new nonlocal derivatives on fractals subset of real-line lies in the fact that they are used for better modelling of processes with memory effect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-11T21:12:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractal subset",
      "fractal sets",
      "non-local laplace transformation",
      "non-linear fractal equations",
      "beta functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}