Generalized GL Fractional Derivative and its Laplace and Fourier Transform

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceedingConference contribution

16 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 → …

Cite this

Ortigueira, M. D., & DEE Group Author (2010). Generalized GL Fractional Derivative and its Laplace and Fourier Transform. In PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE (pp. 1227-1231)