Basketball is one of the sports that people love. This paper uses fractional differential equations to perform shot visual proofreading. At the same time, we propose a visual proofreading method for the optimal shooting angle. We extract the features of the shooting trajectory according to the distribution of corner points and edge contours of the trajectory image. So far, the automatic capture method of basketball shooting trajectory based on the fractional differential equation is completed. We found that the algorithm in this paper greatly improves the player’s shooting technique through experimental simulation research.