Research and development of economic crisis data simulation teaching analysis system based on fractional calculus equation

Abstract

This paper uses fractional-order calculus equations to analyze corporate investment behavior in the micro-domain to examine the impact of economic crisis and monetary policy on corporate investment. At the same time, the paper takes the data of 5 years from 2014 to 2018 of China’s A-share market manufacturing company as a sample, and uses the method of shifting Bernstein polynomial to approximate the unknown function to generalize to the numerical solution of two-dimensional linear fractional delay partial differential equation . The numerical method for solving equations proves that monetary policy and economic crisis are important factors influencing corporate investment behavior. Corporate investment opportunities and new investment expenditures have a significant negative correlation with the economic crisis. Monetary policy has a positive regulatory effect on corporate investment opportunities and investment expenditures. Loose monetary policies can effectively reduce corporate financing constraints and increase new investment of enterprises.