Abstract and Applied Analysis

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

Abdon Atangana and Aydin Secer

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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.

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Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 279681, 8 pages.

First available in Project Euclid: 26 February 2014

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Atangana, Abdon; Secer, Aydin. A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 279681, 8 pages. doi:10.1155/2013/279681. https://projecteuclid.org/euclid.aaa/1393448857

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