I know that the Predictor-Corrector (PECE) Algorithm is applied to solve the Fractional-Order System (FDE). I want to solve following Fractional Order Delay System (FDDE). Please give me some Matlab Code (Time Series or Phase Plane) for the following FDDE:
D^m x(t) = a*(y - x(t-tau));
D^m y(t) = (c - a)* x(t-tau) - x*z + c*y;
D^m z(t) = x*y - b*z(t-tau);
Using the parameter Set: a = 35; b = 3; c = 27, tau = 0.5 & IC's are
x(t) = 0.2; y(t) = 0; z(t) = 0.5 for t belongs to [-tau, 0] for fractional order m = 0.94.
Sir, could you please tell me how to solve FODE backward in time using PECE algorithm?? Please share MATLAB codes.
Thank you in advance.
Dear Shuvojit Mondal
You can check this program :
http://ylgdiy.bokee.com/7007694.html
Best regards
You can see the following links:
https://www.mathworks.com/matlabcentral/fileexchange/32918-predictor-corrector-pece-method-for-fractional-differential-equations
https://www.mathworks.com/matlabcentral/fileexchange/22071-matrix-approach-to-discretization-of-odes-and-pdes-of-arbitrary-real-order
Best regards
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