Research on a kind of direct method of solving fractional Calculus
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Hui Wang, Hui Li, Jing Li and Junwei Lei
By using the direct method, we use an approximate method to solve the fractional order differential equation with the help of Volter equation. We take a triangular function as an example to do the numerical simulation and find that the solution is also like a triangular function. And we should point out that the disadvantage of this direct method is that each step should do a integration calculation so it need a lot time to finish the simulation if the simulation time is very long and the simulation step is set very small.
Fractional order, Simulation, Stability, Control system, Volter equation