On a Unified Fractional Derivative

Manuel Duarte Ortigueira; Juan J. Trujillo

doi:doi.org/10.1115/DETC2011-47317

On a Unified Fractional Derivative

Manuel Duarte Ortigueira, Juan J. Trujillo

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

1 Citation (Scopus)

Abstract

A new fractional derivative of the Grüwald-Letnikov type is proposed and some properties are studied. The new definition incorporates both the forward and backward Grüwald-Letnikov and the two-sided fractional derivatives. Several properties of such generalized operator are presented, and some particular cases deduced

Original language	English
Title of host publication	Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Subtitle of host publication	2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B
Place of Publication	Washington, DC
Publisher	ASME - The American Society of Mechanical Engineers
Pages	137-141
Number of pages	5
Volume	3
ISBN (Print)	978-0-7918-5480-8
DOIs	https://doi.org/doi.org/10.1115/DETC2011-47317
Publication status	Published - 12 Jun 2012
Event	7th ASME/IEEE Conference on Mechatronics and Embedded Systems and Applications (MESA2011) - Duration: 1 Jan 2011 → …

Conference

Conference	7th ASME/IEEE Conference on Mechatronics and Embedded Systems and Applications (MESA2011)
Period	1/01/11 → …

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Ortigueira, M. D., & Trujillo, J. J. (2012). On a Unified Fractional Derivative. In Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B (Vol. 3, pp. 137-141). Article DETC2011-47317 ASME - The American Society of Mechanical Engineers. https://doi.org/doi.org/10.1115/DETC2011-47317

Ortigueira, Manuel Duarte ; Trujillo, Juan J. / On a Unified Fractional Derivative. Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B. Vol. 3 Washington, DC : ASME - The American Society of Mechanical Engineers, 2012. pp. 137-141

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abstract = "A new fractional derivative of the Gr{\"u}wald-Letnikov type is proposed and some properties are studied. The new definition incorporates both the forward and backward Gr{\"u}wald-Letnikov and the two-sided fractional derivatives. Several properties of such generalized operator are presented, and some particular cases deduced",

author = "Ortigueira, {Manuel Duarte} and Trujillo, {Juan J.}",

year = "2012",

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doi = "doi.org/10.1115/DETC2011-47317",

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Ortigueira, MD & Trujillo, JJ 2012, On a Unified Fractional Derivative. in Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B. vol. 3, DETC2011-47317, ASME - The American Society of Mechanical Engineers, Washington, DC, pp. 137-141, 7th ASME/IEEE Conference on Mechatronics and Embedded Systems and Applications (MESA2011), 1/01/11. https://doi.org/doi.org/10.1115/DETC2011-47317

On a Unified Fractional Derivative. / Ortigueira, Manuel Duarte; Trujillo, Juan J.
Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B. Vol. 3 Washington, DC: ASME - The American Society of Mechanical Engineers, 2012. p. 137-141 DETC2011-47317.

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

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N2 - A new fractional derivative of the Grüwald-Letnikov type is proposed and some properties are studied. The new definition incorporates both the forward and backward Grüwald-Letnikov and the two-sided fractional derivatives. Several properties of such generalized operator are presented, and some particular cases deduced

AB - A new fractional derivative of the Grüwald-Letnikov type is proposed and some properties are studied. The new definition incorporates both the forward and backward Grüwald-Letnikov and the two-sided fractional derivatives. Several properties of such generalized operator are presented, and some particular cases deduced

U2 - doi.org/10.1115/DETC2011-47317

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M3 - Conference contribution

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BT - Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference

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Ortigueira MD, Trujillo JJ. On a Unified Fractional Derivative. In Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B. Vol. 3. Washington, DC: ASME - The American Society of Mechanical Engineers. 2012. p. 137-141. DETC2011-47317 doi: doi.org/10.1115/DETC2011-47317

On a Unified Fractional Derivative

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