{
  "id": "1303.4075",
  "version": "v1",
  "published": "2013-03-17T16:09:47.000Z",
  "updated": "2013-03-17T16:09:47.000Z",
  "title": "Noether's theorem for fractional variational problems of variable order",
  "authors": [
    "Tatiana Odzijewicz",
    "Agnieszka B. Malinowska",
    "Delfim F. M. Torres"
  ],
  "comment": "This is a preprint of a paper whose final and definite form will appear in Central European Journal of Physics. Paper submitted 30-Jan-2013; revised 12-March-2013; accepted for publication 15-March-2013",
  "journal": "Cent. Eur. J. Phys. 11 (2013), no. 6, 691--701",
  "doi": "10.2478/s11534-013-0208-2",
  "categories": [
    "math.OC",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove a necessary optimality condition of Euler-Lagrange type for fractional variational problems with derivatives of incommensurate variable order. This allows us to state a version of Noether's theorem without transformation of the independent (time) variable. Considered derivatives of variable order are defined in the sense of Caputo.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-17T16:09:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional variational problems",
      "noethers theorem",
      "necessary optimality condition",
      "euler-lagrange type",
      "derivatives"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Central European Journal of Physics",
      "year": 2013,
      "month": "Jun",
      "volume": 11,
      "number": 6,
      "pages": 691
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013CEJPh..11..691O"
    }
  }
}