fractPC.m provides the Predictor-corrector Method for fractional order Relaxation-Oscillation equation (u_t_alpha=-B u(t)+f(t), 0<alpha<=2).
variablerandomorder.m provides the Predictor-corrector Method for the variable-order (0<\alpha(t)<=1) and random-order (p(0<\alpha_0+noise<=1)=1) fractional relaxation equations. It is also usable when the derivative order is a constant (0<\alpha<=1).
The readers can change the variable-order and random-order function in this code. The related parameters can also be changed in the code. In addition, we should point that this code is usable with the variable-order or random-order in small change. If the differential order function changes fast, please give the smaller time step. But, it does not work when the differential order function changes sharply.
Hongguang Sun (2021). Predictor-Corrector Method for constant, variable and random fractional order relaxation equation (https://www.mathworks.com/matlabcentral/fileexchange/26407-predictor-corrector-method-for-constant-variable-and-random-fractional-order-relaxation-equation), MATLAB Central File Exchange. Retrieved .
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