{
  "annotation_id": "2e1d04ee-ac73-44b4-8c4a-e553644d6921",
  "date_created": "2026-03-02T18:01:03.279000Z",
  "date_modified": "2026-03-02T18:01:03.279000Z",
  "file_hash": "7903fd8cd34c6e5cb1820bfa048e90f7549479d06c096282af6fb71cba0879c3",
  "private": false,
  "record": {
    "abstract": "We derive the fractional generalization of the Ginzburg-Landau equation from\nthe variational Euler-Lagrange equation for fractal media. To describe fractal\nmedia we use the fractional integrals considered as approximations of integrals\non fractals. Some simple solutions of the Ginzburg-Landau equation for fractal\nmedia are considered and different forms of the fractional Ginzburg-Landau\nequation or nonlinear Schrodinger equation with fractional derivatives are\npresented. The Agrawal variational principle and its generalization have been\napplied.",
    "arxiv_id": "physics/0511144",
    "authors": [
      "Vasily E. Tarasov",
      "George M. Zaslavsky"
    ],
    "categories": [
      "physics.class-ph",
      "cond-mat.mtrl-sci",
      "cond-mat.other",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "doi": "10.1016/j.physa.2005.02.047",
    "journal_ref": "Physica A 354 (2005) 249-261",
    "title": "Fractional Ginzburg-Landau equation for fractal media",
    "url": "https://arxiv.org/abs/physics/0511144"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2402f12a-a0bc-4901-9542-4975cb68d05a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}