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

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  • Zhao, Yuting

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.

Suggested Citation

  • Zhao, Yuting, 2020. "Research and development of economic crisis data simulation teaching analysis system based on fractional calculus equation," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919304060
    DOI: 10.1016/j.chaos.2019.109460
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    References listed on IDEAS

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    1. José Carlos Vides & Antonio A. Golpe & Jesús Iglesias, 2018. "How did the Sovereign debt crisis affect the Euro financial integration? A fractional cointegration approach," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(4), pages 685-706, November.
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