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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 279681, 8 pages
http://dx.doi.org/10.1155/2013/279681
Research Article

A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions

1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa
2Yildiz Technical University, Department of Mathematical Engineering, Davutpasa, 34210 İstanbul, Turkey

Received 10 January 2013; Accepted 1 March 2013

Academic Editor: Mustafa Bayram

Copyright © 2013 Abdon Atangana and Aydin Secer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this note is to present the different fractional order derivatives definition that are commonly used in the literature on one hand and to present a table of fractional order derivatives of some functions in Riemann-Liouville sense On other the hand. We present some advantages and disadvantages of these fractional derivatives. And finally we propose alternative fractional derivative definition.