关键词: 分形, 分数阶积分, 容量维数, 洪水分期

Abstract:

Fractional integral is an essential branch of fractal theory.In this paper,the authors adopted fractional integral in the evaluation of time series dimension,which has a higher accuracy than other methods such as box dimension,gauge method and so on.The characteristics of flood event series were then analyzed by using fractal theory.It is shown that the flood events have the character of selfsimilarity.The authors applied fractional integral in the classification of seasonal flood periods,and compared with the method of capacity dimension by taking the discharge data of Shigu station in the upriver of Jinshajiang as the major objective of research.The classification results using fractional dimension method turned out to be more objective for less subjected to experiences and anthropogenic influence.However,due to the large demand of flood peak points,the workload of analysis and calculation is enormous.Fractional integral is conveniently operated with the production of accurate results;in addition,the established fractal function relationship provides convenience for further analysis.〖

Key words: fractional integral, fractal, capacity dimension, seasonal flood period classification