obviously MATLAB

For simulation and implementation you can use Simulink in MATLAB and fomcon toolbox respectively. Reference papers for fractional order controllers are attached below -

1.https://ieeexplore.ieee.org/abstract/document/8979086/

2.https://www.sciencedirect.com/science/article/pii/S1877050920312990

3.https://ieeexplore.ieee.org/abstract/document/9087104/

Dear Majid:

Matlab Simulink

There is a symbol

PID controller

(Propotional Integrator Differential).

In it's properites you can choose any mode you need.