This paper provides a comprehensive overview of fractional differential equations and their application in university economic management analysis. Initially, it offers a concise summary of relevant theories surrounding fractional differential equations, establishing a robust theoretical framework. Building on this foundation, the study delves into an in-depth analysis of seven prevalent economic management models utilized in university settings. By employing fractional differential equations, the paper not only solves these economic models but also elucidates the underlying economic implications and principles. Furthermore, the research presents a detailed analysis of economic management, drawing logical inferences and insights. The abstract concludes by showcasing practical examples that illustrate the application of fractional differential equations in the realm of economic management. This study bridges theoretical concepts with real-world applications, providing valuable insights for the advancement of economic management strategies in educational institutions.