Predictor-Corrector Method for constant, variable and random fractional order relaxation equation

Predictor-Corrector Method for fractional VO and RO equation

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.