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Journal of Applied Nonlinear Dynamics 1(1) (2012) 109--112 | DOI:10.5890/JAND.2012.03.001

J.A. Tenreiro Machado

Institute of Engineering of Polytechnic of Porto, Dept. of Electrical Engineering, Rua Dr. Antonio Bernardino de Almeida, 431, 4200-072 Porto, Portugal

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Abstract

Fractional derivatives (FDs) need to be calculated using series or rational fractions. The effect of such approximations are usually analysed by means of the frequency or the time responses. This paper takes advantage of a probabilistic interpretation of FDs and adopts the Shannon entropy for assessing the truncation effect produced by the approximations.

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