Objective
To study the information reform of preschool education of fine arts under fractional differential equation. Methods: In this paper, the fractional Navier-Stokes equations are compared with the traditional models through some numerical experiments, which provides a certain basis for future physical application. In order to improve students’ comprehensive ability and quality, we should strengthen education and teaching in all aspects, and art education is a more important aspect. The results show that the numerical solution of the integral equation with different values is close to a point at x = 1, that is, u (1) = 0.5.

Conclusion
In the current preschool education professional art education teaching process, the use of information technology means has become a necessary teaching requirement and need to improve the teaching effect, and the quality is of great significance and value, thus ensuring better able to carry out education of fine arts teaching, which enables students for better development, guarantees for a better future that is better for preschool education.