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

C. Yang, F. Liu


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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DOI: http://dx.doi.org/10.21914/anziamj.v47i0.1037

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.