{
  "id": "2312.10086",
  "version": "v1",
  "published": "2023-12-12T12:32:57.000Z",
  "updated": "2023-12-12T12:32:57.000Z",
  "title": "A Necessary Optimality Condition for Extended Weighted Generalized Fractional Optimal Control Problems",
  "authors": [
    "Houssine Zine",
    "El Mehdi Lotfi",
    "Delfim F. M. Torres",
    "Noura Yousfi"
  ],
  "comment": "This is a preprint version of the paper published open access in 'Results in Control and Optimization 14 (2024), Art. 100356, 5 pp' [https://doi.org/10.1016/j.rico.2023.100356]",
  "journal": "Results in Control and Optimization 14 (2024), Art. 100356, 5 pp",
  "doi": "10.1016/j.rico.2023.100356",
  "categories": [
    "math.OC"
  ],
  "abstract": "Using the recent weighted generalized fractional order operators of Hattaf, a general fractional optimal control problem without constraints on the values of the control functions is formulated and a corresponding (weak) version of Pontryagin's maximum principle is proved. As corollaries, necessary optimality conditions for Caputo-Fabrizio, Atangana-Baleanu and weighted Atangana-Baleanu fractional dynamic optimization problems are trivially obtained. As an application, the weighted generalized fractional problem of the calculus of variations is investigated and a new more general fractional Euler-Lagrange equation is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-12T12:32:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "49K05"
    ],
    "keywords": [
      "generalized fractional optimal control problems",
      "weighted generalized fractional optimal control",
      "extended weighted generalized fractional optimal",
      "necessary optimality condition",
      "atangana-baleanu fractional dynamic optimization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}