4.7 Article

Fractional Hausdorff grey model and its properties

Journal

CHAOS SOLITONS & FRACTALS
Volume 138, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.109915

Keywords

FHGM(1,1); GM(1,1); Monotonicity; Initial value

Funding

  1. National Natural Science Foundation of China [71871084]
  2. Excellent Young Scientist Foundation of Hebei Education Department [SLRC2019001]
  3. project of high-level talent in Hebei province

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The grey model with the fractional Hausdorffderivative is put forward to enhance the forecasting accuracy of traditional grey model. The proposed model will not be effect by the initial value x((0))(1). The relationship between the error and the order (r) is proved. We also make a comparison among the proposed model with the traditional fractional grey model and the traditional grey model. The comparison results show that the proposed model can improve the traditional grey model. (C) 2020 Elsevier Ltd. All rights reserved.

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