Generalized GL Fractional Derivative and its Laplace and Fourier Transform

Manuel Duarte Ortigueira; DEE Group Author

Generalized GL Fractional Derivative and its Laplace and Fourier Transform

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	Unknown
Title of host publication	PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE
Pages	1227-1231
Publication status	Published - 1 Jan 2010
Event	7th International Conference on Multibody Systems, Nonlinear Dynamics and Control Location - Duration: 1 Jan 2009 → …

Conference

Conference	7th International Conference on Multibody Systems, Nonlinear Dynamics and Control Location
Period	1/01/09 → …

Cite this

@inproceedings{6ec821155edf4a57b0496ffe16d3479e,

title = "Generalized GL Fractional Derivative and its Laplace and Fourier Transform",

abstract = "The generalized Gr{\"u}nwal-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.",

author = "Ortigueira, {Manuel Duarte} and {DEE Group Author}",

year = "2010",

month = jan,

day = "1",

language = "Unknown",

pages = "1227--1231",

booktitle = "PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE",

note = "7th International Conference on Multibody Systems, Nonlinear Dynamics and Control Location ; Conference date: 01-01-2009",

}

Generalized GL Fractional Derivative and its Laplace and Fourier Transform. / Ortigueira, Manuel Duarte; DEE Group Author.
PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE. 2010. p. 1227-1231.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Generalized GL Fractional Derivative and its Laplace and Fourier Transform

AU - Ortigueira, Manuel Duarte

AU - DEE Group Author

PY - 2010/1/1

Y1 - 2010/1/1

N2 - 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.

AB - 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.

M3 - Conference contribution

SP - 1227

EP - 1231

BT - PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE

T2 - 7th International Conference on Multibody Systems, Nonlinear Dynamics and Control Location

Y2 - 1 January 2009

ER -