Yusong Teng, Haomiao Yu, Yuxin Zhao, Keying Wang,Yong Jiang, and Yichen Bao. Research on batting trajectory of Badminton operators based on impact numerical calculation of differential equation of tension Motion
Dynamic Systems and Applications 29 (2020) No. 4,1095-1102

https://doi.org/10.46719/dsa20202946

ABSTRACT.
The World Contest of Badguson Sport in China is a comprehensive sports project with a long tradition and advantages. In various world competitions, the fractional calculus is the theoretical basis and powerful tool for studying the geometry of fractal set and fractional dynamics, which has achieved a leap forward progress and development in China[1]. It has been widely used in many fields, and a lot of work has been done in the study of fractional calculus in fractal set. firstly, the calculus theory of derivative fraction critical order is applied to the study of self-imitating function in mathematics, and a derivable critical order of self-imitating function is obtained. The relationship between the critical order of derivative fraction of self-imitating function in fractal set and the order and bound of calculus dimension transformation and the upper bound of statistical dimension is calculated, and the good research results of badminton operator batting trajectory are obtained.

Key words: differential equation; impact value; badminton player;batting track