{
  "id": "1610.05524",
  "version": "v1",
  "published": "2016-10-18T10:27:02.000Z",
  "updated": "2016-10-18T10:27:02.000Z",
  "title": "Initial boundary value problems for a fractional differential equation with hyper-Bessel operator",
  "authors": [
    "Fatma Al-Musalhi",
    "Nasser Al-Salti",
    "Erkinjon Karimov"
  ],
  "comment": "12 pages, no figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart hyper-Bessel operator are considered. Solutions to these problems are constructed based on appropriate eigenfunction expansion and results on existence and uniqueness are established. To solve the resultant equations, a solution to a non-homogeneous fractional differential equation with regularized Caputo-like counterpart hyper-Bessel operator is also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-18T10:27:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "34A08"
    ],
    "keywords": [
      "initial boundary value problems",
      "fractional differential equation",
      "regularized caputo-like counterpart hyper-bessel operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}