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On a Unified Fractional Derivative

[+] Author Affiliations
Manuel D. Ortigueira

Universidade Nova de Lisboa, Monte da Caparica, Portugal

Juan J. Trujillo

Universidad de La Laguna, Tenerife, Spain

Paper No. DETC2011-47317, pp. 137-141; 5 pages
doi:10.1115/DETC2011-47317
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5480-8
  • Copyright © 2011 by ASME

abstract

A new fractional derivative of complex Grüwald-Letnikov type is proposed and some properties are studied. The new definition incorporates both the forward and backward Grüwald-Letnikov and other fractional derivatives well known. Several properties of such generalized operator are presented.

Copyright © 2011 by ASME

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