Fractional Hausdorff grey model and its properties

Abstract The grey model with the fractional Hausdorff derivative 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.

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