An introduction to the fractional continuous-time linear systems: The 21st century systems

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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.

Original languageEnglish
Article number4609961
Pages (from-to)19-26
Number of pages8
JournalIEEE Circuits and Systems Magazine
Issue number3
Publication statusPublished - Sep 2008



  • Continuous-time linear systems
  • Mittag-Leffler functions
  • Fractional derivatives

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