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Web of Proceedings - Francis Academic Press
Web of Proceedings - Francis Academic Press

Research on the Application of Fractional Calculus in Statistics

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DOI: 10.25236/AISCT.2019.030


Guo Qianru

Corresponding Author

Guo Qianru


Fractional calculus has been widely used in various fields in China. In recent years, with the continuous maturity and development of fractional calculus theory and application, its application in statistics has an important role in texture. The theoretical and numerical algorithms of fractional calculus and differential equations are used in the field of statistical systems, which solves many problems in statistical systems. In this paper, based on the theory of the definition of fractional calculus, the fractional calculus the special function is expounded. At the same time, the application of fractional calculus in complex systems is specifically analyzed, and the application of non-Newton fluid mechanics and anomalous diffusion and random walk theory. With the deepening of the research on fractional calculus in academic circles and the expansion of its application scope, the role of fractional calculus in the statistical system has been further expanded, and will play a greater role in reference.


Fractional calculus; statistics; application