The Fractional Quantum Derivative and the Fractional Linear Scale Invariant Systems

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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
Original languageUnknown
Title of host publicationFractional Calculus for Scientists and Engineers
Place of PublicationBerlin
PublisherSpringer-Verlag
Pages123-144
Volume84
ISBN (Print)978-94-007-0747-4
DOIs
Publication statusPublished - 1 Jan 2011

Publication series

NameLecture Notes in Electrical Engineering
PublisherSpringer-Verlag
ISSN (Print)1876-1100

Cite this

Ortigueira, M. D., & DEE Group Author (2011). The Fractional Quantum Derivative and the Fractional Linear Scale Invariant Systems. In Fractional Calculus for Scientists and Engineers (Vol. 84, pp. 123-144). (Lecture Notes in Electrical Engineering). Springer-Verlag. https://doi.org/10.1007/978-94-007-0747-4_6