Fractional derivatives: The perspective of system theory

Manuel Duarte Ortigueira, José Tenreiro Machado

Research output: Contribution to journalArticle

14 Citations (Scopus)


This paper addresses the present day problem of multiple proposals for operators under the umbrella of "fractional derivatives". Several papers demonstrated that various of those "novel" definitions are incorrect. Here the classical system theory is applied to develop a unified framework to clarify this important topic in Fractional Calculus.

Original languageEnglish
Article number150
Issue number2
Publication statusPublished - 5 Feb 2019


  • Fractional anti-derivatives
  • Fractional calculus
  • Fractional derivatives
  • Fractional integrals
  • Fractional operators

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