The Fractional Quantum Derivative and the Fractional Linear Scale Invariant Systems

  • Manuel Duarte OrtigueiraEmail author
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 84)


The normal way of introducing the notion of derivative is by means of the limit of an incremental ratio that can assume three forms, depending the used translations as we saw in Chaps. 1 and 4. On the other hand, in those derivatives the limit operation is done over a set of points uniformly spaced: a linear scale was used. Here we present an alternative derivative, that is valid only for t > 0 or t < 0 and uses an exponential scale


Impulse Response Fractional Derivative Fractional Order System Integer Order Incremental Ratio 
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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Faculdade de Ciências/Tecnologia da UNLUNINOVA and DEECaparicaPortugal

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