{
  "id": "1710.01464",
  "version": "v1",
  "published": "2017-10-04T05:25:34.000Z",
  "updated": "2017-10-04T05:25:34.000Z",
  "title": "Positive solution to fractional thermostat model in Banach spaces via fixed point results",
  "authors": [
    "Hiranmoy Garai",
    "Lakshmi Kanta Dey",
    "Ankush Chanda"
  ],
  "comment": "18 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The motive behind this manuscript is to set up the existence and uniqueness of a positive solution for a fractional thermostat model for certain values of the parameter $\\lambda>0$. We accomplish sufficient conditions for the existence of a positive solution to the model, and afterwards formulate a non-trivial example to authenticate the grounds of our obtained results. Our findings are based on certain fixed point results of contractions depending on couple of altering distance functions $\\phi$ and $\\psi$ in the setting of Banach spaces that are discussed in this sequel.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-04T05:25:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "54H25"
    ],
    "keywords": [
      "fractional thermostat model",
      "fixed point results",
      "positive solution",
      "banach spaces",
      "accomplish sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}