Continuous grey model with conformable fractional derivative

被引:38
|
作者
Xie, Wanli [1 ]
Liu, Caixia [1 ]
Wu, Wen-Ze [2 ]
Li, Weidong [1 ]
Liu, Chong [3 ]
机构
[1] Nanjing Normal Univ, Inst EduInfo Sci & Engn, Nanjing 210097, Jiangsu, Peoples R China
[2] Cent China Normal Univ, Sch Econ & Business Adm, Wuhan 430079, Peoples R China
[3] Inner Mongolia Agr Univ, Sch Sci, Hohhot 010018, Peoples R China
关键词
Conformable fractional derivative; Grey-based model; CCFGM(1,1); Prediction performance; FORECASTING-MODEL; BERNOULLI MODEL; NEURAL-NETWORKS; SYSTEM MODEL; NATURAL-GAS; CONSUMPTION; PREDICT;
D O I
10.1016/j.chaos.2020.110285
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Fractional-order grey models have received more attention owing to superiority to integer-order ones in terms of the prediction performance. In this paper, to further improve the performance of grey-based model, a new method based on conformable fractional derivative, the continuous conformable fractional grey model (denoted as CCFGM(1,1) for short), is proposed. In comparison with the traditional fractional-order grey models, the novel model possesses the simpler computation procedure. The numerical results of two real cases show that the prediction performance of the novel model is superior to other competitive models and therefore, it is proved that this model effectively brings forth the improvement of the existing fractional-order grey models. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数:9
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