{
  "id": "1009.2671",
  "version": "v2",
  "published": "2010-09-14T14:02:36.000Z",
  "updated": "2010-09-16T20:50:31.000Z",
  "title": "Composition Functionals in Fractional Calculus of Variations",
  "authors": [
    "Agnieszka B. Malinowska",
    "Moulay Rchid Sidi Ammi",
    "Delfim F. M. Torres"
  ],
  "comment": "This is a preprint of a paper whose final form has appeared in Commun. Frac. Calc. 1 (2010) 32-40",
  "journal": "Commun. Frac. Calc. 1 (2010) 32-40",
  "categories": [
    "math.OC"
  ],
  "abstract": "We prove Euler-Lagrange and natural boundary necessary optimality conditions for fractional problems of the calculus of variations which are given by a composition of functionals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. As an application, we get optimality conditions for the product and the quotient of fractional variational functionals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-16T20:50:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "49K05"
    ],
    "keywords": [
      "fractional calculus",
      "composition functionals",
      "variations",
      "natural boundary necessary optimality conditions",
      "fractional variational functionals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.2671M"
    }
  }
}