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

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

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 dis...

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Main Authors: Abdon Atangana, Aydin Secer
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/279681
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spelling doaj-90f35f1f864448c99b5579b9c5785fcc2020-11-25T01:06:40ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/279681279681A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special FunctionsAbdon Atangana0Aydin Secer1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South AfricaYildiz Technical University, Department of Mathematical Engineering, Davutpasa, 34210 İstanbul, TurkeyThe 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.http://dx.doi.org/10.1155/2013/279681
collection DOAJ
language English
format Article
sources DOAJ
author Abdon Atangana
Aydin Secer
spellingShingle Abdon Atangana
Aydin Secer
A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
Abstract and Applied Analysis
author_facet Abdon Atangana
Aydin Secer
author_sort Abdon Atangana
title A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
title_short A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
title_full A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
title_fullStr A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
title_full_unstemmed A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions
title_sort note on fractional order derivatives and table of fractional derivatives of some special functions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/279681
work_keys_str_mv AT abdonatangana anoteonfractionalorderderivativesandtableoffractionalderivativesofsomespecialfunctions
AT aydinsecer anoteonfractionalorderderivativesandtableoffractionalderivativesofsomespecialfunctions
AT abdonatangana noteonfractionalorderderivativesandtableoffractionalderivativesofsomespecialfunctions
AT aydinsecer noteonfractionalorderderivativesandtableoffractionalderivativesofsomespecialfunctions
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