A computationally effective predictor-corrector method for simulating fractional order dynamical control system
Changqing YangSchool of Mathematical Sciences, Xiamen University, Xiamen 361005, ChinaF. LiuSchool of Mathematical Sciences, Queensland University of Technology, Queensland 4001, Australia
2006en
ABI
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.
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