On Fractional Derivatives and Primitives of Periodic Functions
We prove that the fractional derivative or the fractional primitive of a T-periodic function cannot be a T~-periodic function, for any period T~, with the exception of the zero function.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/392598 |
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| _version_ | 1832550006610984960 |
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| author | I. Area J. Losada J. J. Nieto |
| author_facet | I. Area J. Losada J. J. Nieto |
| author_sort | I. Area |
| collection | DOAJ |
| description | We prove that the fractional derivative or the fractional primitive of a T-periodic function cannot be a T~-periodic function, for any period T~, with the exception of the zero function. |
| format | Article |
| id | doaj-art-772f8364e82f46968548a5dfbc1f1d46 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-772f8364e82f46968548a5dfbc1f1d462025-02-03T06:07:57ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/392598392598On Fractional Derivatives and Primitives of Periodic FunctionsI. Area0J. Losada1J. J. Nieto2Departamento de Matemática Aplicada II, E.E. Telecomunicación, Universidade de Vigo, 36310 Vigo, SpainFacultad de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainFacultad de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainWe prove that the fractional derivative or the fractional primitive of a T-periodic function cannot be a T~-periodic function, for any period T~, with the exception of the zero function.http://dx.doi.org/10.1155/2014/392598 |
| spellingShingle | I. Area J. Losada J. J. Nieto On Fractional Derivatives and Primitives of Periodic Functions Abstract and Applied Analysis |
| title | On Fractional Derivatives and Primitives of Periodic Functions |
| title_full | On Fractional Derivatives and Primitives of Periodic Functions |
| title_fullStr | On Fractional Derivatives and Primitives of Periodic Functions |
| title_full_unstemmed | On Fractional Derivatives and Primitives of Periodic Functions |
| title_short | On Fractional Derivatives and Primitives of Periodic Functions |
| title_sort | on fractional derivatives and primitives of periodic functions |
| url | http://dx.doi.org/10.1155/2014/392598 |
| work_keys_str_mv | AT iarea onfractionalderivativesandprimitivesofperiodicfunctions AT jlosada onfractionalderivativesandprimitivesofperiodicfunctions AT jjnieto onfractionalderivativesandprimitivesofperiodicfunctions |