{
  "id": "1601.07376",
  "version": "v1",
  "published": "2016-01-24T15:14:29.000Z",
  "updated": "2016-01-24T15:14:29.000Z",
  "title": "Variational Problems Involving a Caputo-Type Fractional Derivative",
  "authors": [
    "Ricardo Almeida"
  ],
  "comment": "This is a preprint of a paper whose final and definite form will be published in Journal of Optimization Theory and Applications",
  "categories": [
    "math.OC",
    "cs.SY"
  ],
  "abstract": "The aim of this paper is to study certain problems of calculus of variations, that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo--Hadamard fractional derivatives, that are dependent on a real parameter ro. Sufficient and necessary conditions of the first and second order are presented. The cases of integral and holonomic constraints are also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-24T15:14:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "caputo-type fractional derivative",
      "variational problems",
      "caputo-hadamard fractional derivatives",
      "real parameter ro",
      "lagrange function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160107376A"
    }
  }
}