On the Usefulness of Riemann-Liouville and Caputo Derivatives in Describing Fractional Shift-invariant Linear Systems

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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 condi- tions may be either null or unavailable. This may lead to question the use of such derivatives.
Original languageUnknown
Pages (from-to)113-124
JournalJournal of Computational and Nonlinear Dynamics
Volume1
Issue number2
Publication statusPublished - 1 Jan 2012

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