Generalized GL Fractional Derivative and its Laplace and Fourier Transform

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

18 Citations (Scopus)

Abstract

The generalized Grünwal-Letnikov fractional derivative is analysed in this paper. Its Laplace and Fourier Transforms are computed and some current results criticized. It is shown that only the forward derivative of a sinusoid exists. This result is used to define the frequency response of a fractional linear system.
Original languageUnknown
Title of host publicationPROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE
Pages1227-1231
Publication statusPublished - 1 Jan 2010
Event7th International Conference on Multibody Systems, Nonlinear Dynamics and Control Location -
Duration: 1 Jan 2009 → …

Conference

Conference7th International Conference on Multibody Systems, Nonlinear Dynamics and Control Location
Period1/01/09 → …

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