Empirical analysis of fractional differential equations model for relationship between enterprise management and financial performance.

• Fractional-order models are more accurate than integer-order models in reflecting some properties of objects when studying practical problems. • This paper analyses the relationship between enterprise management and financial performance, mathematically models its relationship. • We constructs fractional differential equations, and tests it through empirical research. • The influence of the characteristics of management age, international experience, team size etc. on the financial performance of the company. With the development of science and technology, people also find that fractional-order models are more accurate than integer-order models in describing some phenomena and reflecting some properties of objects when studying practical problems. Since the fractional derivative is a quasi-differential operator, its memory-preserving non-locality, while beautifully portraying the real problem, also brings considerable difficulties to theoretical analysis and numerical calculation. This paper analyses the relationship between enterprise management and financial performance, analyses the mean and heterogeneity of the characteristics of enterprise management team, mathematically models its relationship, constructs fractional differential equations, and tests it through empirical research. The influence of the characteristics of enterprise management age, international experience, education level, team size and government background on the financial performance of the company. [ABSTRACT FROM AUTHOR]