{
  "annotation_id": "3693cd5b-7c43-4ecd-99ab-f29134560c08",
  "date_created": "2026-03-02T18:01:21.481000Z",
  "date_modified": "2026-03-02T18:01:21.481000Z",
  "file_hash": "b1b0fbd7468f757da12d96d1cbaf29a080dfc1017ead032bd0f1255ef7bb14cc",
  "private": false,
  "record": {
    "abstract": "The notion of a local fractional derivative (LFD) was introduced recently for\nfunctions of a single variable. LFD was shown to be useful in studying\nfractional differentiability properties of fractal and multifractal functions.\nIt was demonstrated that the local Holder exponent/ dimension was directly\nrelated to the maximum order for which LFD existed. We have extended this\ndefinition to directional-LFD for functions of many variables and demonstrated\nits utility with the help of simple examples.",
    "arxiv_id": "physics/9801010",
    "authors": [
      "Kiran M. Kolwankar",
      "Anil D. Gangal"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "title": "Local Fractional Derivatives and Fractal Functions of Several Variables",
    "url": "https://arxiv.org/abs/physics/9801010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b06d5baf-6557-4971-81aa-721f2a3b15fa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}