The optimization effect of fuzzy factional-order ordinary differential equation in block chain financial cross-border E-commerce payment mode

To solve the problems of low execution efficiency and insufficient security of traditional electronic payment mode, in this study, an improved mode of cross-border e-commerce payment based on fuzzy fractional-order ordinary differential equation and secure electronic transaction protocol is proposed. Firstly, the competition model of cross-border e-commerce payment platform is constructed using fuzzy fractional order ordinary differential equation. Based on the theory of Hopf bifurcation, the stability of the model is analyzed. Then, the cross-border e-commerce improved payment mode is built based on the secure electronic transaction protocol. Finally, the efficiency and security performance of the improved payment mode are compared with that of the traditional payment mode with face through simulation experiments. The results show that the improved mode takes less time in encryption and decryption than the traditional mode; the time spent on the security payment of the improved mode remains around 1.2 s, while that of the traditional mode is around 2.7 s; the improved mode security payment takes significantly less time than the traditional mode, which indicates that the payment mode proposed in this research based on fuzzy fractional order ordinary differential equation is not only more secure than the traditional payment mode, but also can effectively improve the payment speed of users and greatly enhance their shopping experience.