Fractional derivatives: The perspective of system theory

Manuel Duarte Ortigueira, José Tenreiro Machado

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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
JournalMathematics
Volume7
Issue number2
DOIs
Publication statusPublished - 5 Feb 2019

Keywords

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

Fingerprint Dive into the research topics of 'Fractional derivatives: The perspective of system theory'. Together they form a unique fingerprint.

  • Cite this