On the usefulness of Riemann-Liouville and Caputo derivatives in describing fractional shift-invariant linear systems

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

The description of shift-invariant systems in terms of Riemann- Liouville and Caputo derivatives is studied according to their "initial conditions". The situation of a past excitation of a linear system is considered and shown that the referred initial conditions may be either null or unavailable. This may lead to question the use of such derivatives.

Original languageEnglish
Pages (from-to)113-124
Number of pages12
JournalJournal of Applied Nonlinear Dynamics
Volume1
Issue number2
DOIs
Publication statusPublished - 2012

Keywords

  • Fractional derivative
  • Fractional linear system
  • Initial value problem

Fingerprint

Dive into the research topics of 'On the usefulness of Riemann-Liouville and Caputo derivatives in describing fractional shift-invariant linear systems'. Together they form a unique fingerprint.

Cite this