4.5 Article

An Introduction to the Fractional Continuous-Time Linear Systems: The 21(st) Century Systems

Journal

IEEE CIRCUITS AND SYSTEMS MAGAZINE
Volume 8, Issue 3, Pages 19-26

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/MCAS.2008.928419

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A brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the computation of the impulse and step responses is very similar to the classic. The main difference lies in the substitution of the exponential by the Mittag-Leffler function. We will present also the main formulae defining the fractional derivatives.

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