Fractional Differential Equation in the Cost Control System of Cross-Border E-Commerce

This paper establishes a cost management model of cross-border e-commerce based on a fractional differential equation. Firstly, this paper constructs a fractional differential equation game model of the platform’s evolution and consumer and government regulation. Then this paper studies each participant’s interests and cost control in the supervision and management of international e-commerce. Finally, this paper makes a dynamic simulation of cross-border e-commerce. It discusses the decision-making process of cross-border e-commerce enterprises in the operation factors of the alliance. Through the numerical simulation of MATLAB, it can be seen that standardized management can reduce the cost sensitivity of enterprises in a sense. The cost control system model of cross-border e-commerce based on fractional differential equation has high accuracy and strong applicability.