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Journal of Applied Nonlinear Dynamics 1(2) (2012) 113--124 | DOI:10.5890/JAND.2012.05.001

Manuel D. Ortigueira; Fernando J. Coito

UNINOVA and DEE of Faculdade de Ciências e Tecnologia da UNL. Campus da FCT da UNL, Quinta da Torre, 2829–516 Caparica, Portugal

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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 conditions may be either null or unavailable. This may lead to question the use of such derivatives.

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