Continuous grey model with conformable fractional derivative

Wanli Xie; Caixia Liu; Weidong Li; Wenze Wu; Chong Liu

doi:10.1016/j.chaos.2020.110285

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arXiv · 2008.00803

Continuous grey model with conformable fractional derivative

Wanli Xie·Caixia Liu·Weidong Li·Wenze Wu·Chong Liu

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Abstract

The existing fractional grey prediction models mainly use discrete fractional-order difference and accumulation, but in the actual modeling, continuous fractional-order calculus has been proved to have many excellent properties, such as hereditary. Now there are grey models established with continuous fractional-order calculus method, and they have achieved good results. However, the models are very complicated in the calculation and are not conducive to the actual application. In order to further simplify and improve the grey prediction models with continuous fractional-order derivative, we propose a simple and effective grey model based on conformable fractional derivatives in this paper, and two practical cases are used to demonstrate the validity of the proposed model.

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BibTeX RIS

Wanli Xie, Caixia Liu, Weidong Li, Wenze Wu, Chong Liu. 2020-06-22. Continuous grey model with conformable fractional derivative. https://doi.org/10.1016/j.chaos.2020.110285

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