A computationally effective predictor-corrector method for simulating fractional order dynamical control system

Abstract

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.