Multi-order fractional differential equations are applied to fractional order dynamical controlled systems. The multi-order fractional differential equation is transferred into a system of fractional order differential equations. A new computationally effective fractional predictor-corrector method is proposed for simulating the fractional order systems and controllers. A detailed error analysis is derived. Finally, we give some numerical examples.
@article{1037, title = {A computationally effective predictor-corrector method for simulating fractional order dynamical control system}, journal = {ANZIAM Journal}, volume = {46}, year = {2006}, doi = {10.21914/anziamj.v47i0.1037}, language = {EN}, url = {http://dml.mathdoc.fr/item/1037} }
Yang, C.; Liu, F. A computationally effective predictor-corrector method for simulating fractional order dynamical control system. ANZIAM Journal, Tome 46 (2006) . doi : 10.21914/anziamj.v47i0.1037. http://gdmltest.u-ga.fr/item/1037/