A new grey model with generalized fractal-fractional derivative for prediction of tourism development

Abstract A new fractional order grey prediction model is proposed for accurate forecasting of tourism development in China. The model combines generalized fractal-fractional derivative operators with difference and accumulation generation operators. Experimental comparisons with existing models show significant improvements in accuracy and efficiency. The model is applied to forecast tourism development in China and results are compared with actual data to verify effectiveness. The proposed model combines fractal-fractional operators to improve prediction accuracy and efficiency, accounting for various factors affecting tourism development. Comparisons with existing models show superiority in accuracy and efficiency. The model accurately predicts tourism development in China, resulting in improved forecasting compared to existing methods. Comparison with actual data further validates the model by displaying agreement between predicted and actual values. Overall, the proposed model effectively captures tourism development dynamics in China for accurate forecasting.