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

Research on a Kind of Approximate Method of Solving Fractional Calculus Based on GL Defination

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DOI: 10.25236/isaicn.2019.069

Author(s)

Wenjing Wang, Jing Li, Hui Li and Junwei Lei

Corresponding Author

Junwei Lei

Abstract

A kind of approximate method of solving the fractional derivative is proposed and realized with Matlab software and M language to do the numerical simulation. Also the sine function and constant function are taken as an example to testify the proposed method. And we found that if the fractional order is close to 1, then the output is close to the integer order derivative, but if the fractional order is close to zero, then the algorithm need small simulation step to realize the stability of whole system.

Keywords

Fractional order, Simulation, Stability, Control system, Volter equation