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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/279681 |
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| _version_ | 1832555118478753792 |
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| author | Abdon Atangana Aydin Secer |
| author_facet | Abdon Atangana Aydin Secer |
| author_sort | Abdon Atangana |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-90f35f1f864448c99b5579b9c5785fcc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-90f35f1f864448c99b5579b9c5785fcc2025-02-03T05:49:37ZengWileyAbstract 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 |
| spellingShingle | Abdon Atangana Aydin Secer A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions Abstract and Applied Analysis |
| title | 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_short | 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 |
| 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 |