We are familiar that the Predictor-Corrector Algorithm is applied to solve the Fractional-Order Differential systems. I need to solve the following Fractional Order Delay Differential System. Please share any MATHEMATICA Code for the following Fractional Order Delay Differential System:
D^\[Alpha]D^α x[t] == z[t] + (y[t - \[Tau]]τ] - a)*x[t];
D^\[Alpha]D^α y[t] == 1 - b*y[t] - (x[t - \[Tau]]τ])^2;
D^\[Alpha]D^α z[t] == -x[t - \[Tau]]τ] - c*z[t];
Where,
a = 3; b =0= 0.1; c = 1, tauτ = 0.35 , and
x[0] = 0.1; y[0] =4;= 4; z[0] = 0.5 and \[Alpha]α = 0.90.