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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

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

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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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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