{
  "id": "2103.05287",
  "version": "v1",
  "published": "2021-03-09T08:23:23.000Z",
  "updated": "2021-03-09T08:23:23.000Z",
  "title": "Inverse problem for determining the order of fractional derivative in mixed-type equations",
  "authors": [
    "R. R. Ashurov",
    "R. T. Zunnunov"
  ],
  "comment": "in Russian",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain the considered equation is the subdiffusion equation with a fractional derivative in the sense of Gerasimov-Caputo of the order 0<a<1 , and in the other part - a wave equation with a fractional derivative of the order 1<b<2 . The elliptic part of the equation is a second-order operator, considered in a N - dimensional domain D. Assuming the parameters a and b to be unknown, additional conditions are found that provide an unambiguous determination of the required parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-09T08:23:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional derivative",
      "mixed-type equations",
      "inverse problem",
      "determining",
      "subdiffusion equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}