论文标题
连续的灰色模型具有符合分数衍生物的连续灰模型
Continuous grey model with conformable fractional derivative
论文作者
论文摘要
现有的分数灰色预测模型主要使用离散的分数差异和积累，但是在实际的建模中，连续分数阶积分已被证明具有许多出色的特性，例如遗传性。现在有使用连续分数计算法建立的灰色模型，它们取得了良好的结果。但是，模型在计算中非常复杂，不利于实际应用。为了进一步简化和改善连续分数衍生物的灰色预测模型，我们在本文中提出了一个基于一致的分数衍生物的简单有效的灰色模型，并使用两种实际情况来证明该模型的有效性。
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.
