{
  "id": "1105.2078",
  "version": "v1",
  "published": "2011-05-11T00:11:46.000Z",
  "updated": "2011-05-11T00:11:46.000Z",
  "title": "Isoperimetric problems of the calculus of variations with fractional derivatives",
  "authors": [
    "Ricardo Almeida",
    "Rui A. C. Ferreira",
    "Delfim F. M. Torres"
  ],
  "comment": "Submitted 02-Oct-2009; revised 30-Jun-2010; accepted 10-May-2011; for publication in the journal Acta Mathematica Scientia",
  "journal": "Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 2, 619--630",
  "doi": "10.1016/S0252-9602(12)60043-5",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper we study isoperimetric problems of the calculus of variations with left and right Riemann-Liouville fractional derivatives. Both situations when the lower bound of the variational integrals coincide and do not coincide with the lower bound of the fractional derivatives are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-11T00:11:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K05",
      "26A33"
    ],
    "keywords": [
      "variations",
      "lower bound",
      "right riemann-liouville fractional derivatives",
      "study isoperimetric problems",
      "variational integrals coincide"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2078A"
    }
  }
}