Entropy Analysis of Fractional Derivatives and Their Approximation

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 assess...

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Detalhes bibliográficos
Autor principal: Machado, J. A. Tenreiro (author)
Formato: article
Idioma:eng
Publicado em: 2019
Assuntos:
Texto completo:http://hdl.handle.net/10400.22/13130
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/13130
Descrição
Resumo: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.