On Solutions of Linear Fractional Differential Equations with Uncertainty
The solutions of linear fuzzy fractional differential equations (FFDEs) under the Caputo differentiability have been investigated. To this end, the fuzzy Laplace transform was used to obtain the solutions of FFDEs. Then, some new results regarding the relation between some types of differentiability...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/178378 |
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| _version_ | 1850220883902201856 |
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| author | T. Allahviranloo S. Abbasbandy M. R. Balooch Shahryari S. Salahshour D. Baleanu |
| author_facet | T. Allahviranloo S. Abbasbandy M. R. Balooch Shahryari S. Salahshour D. Baleanu |
| author_sort | T. Allahviranloo |
| collection | DOAJ |
| description | The solutions of linear fuzzy fractional differential equations (FFDEs) under the Caputo differentiability have been investigated. To this end, the fuzzy Laplace transform was used to obtain the solutions of FFDEs. Then, some new results regarding the relation between some types of differentiability have been obtained. Finally, some applicable examples are solved in order to show the ability of the proposed method. |
| format | Article |
| id | doaj-art-7be49cb9f292426fbc47defd886c1676 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7be49cb9f292426fbc47defd886c16762025-08-20T02:06:53ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/178378178378On Solutions of Linear Fractional Differential Equations with UncertaintyT. Allahviranloo0S. Abbasbandy1M. R. Balooch Shahryari2S. Salahshour3D. Baleanu4Department of Electronic and Communications, Faculty of Engineering, Izmir University, Izmir, TurkeyDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranYoung Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, IranDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThe solutions of linear fuzzy fractional differential equations (FFDEs) under the Caputo differentiability have been investigated. To this end, the fuzzy Laplace transform was used to obtain the solutions of FFDEs. Then, some new results regarding the relation between some types of differentiability have been obtained. Finally, some applicable examples are solved in order to show the ability of the proposed method.http://dx.doi.org/10.1155/2013/178378 |
| spellingShingle | T. Allahviranloo S. Abbasbandy M. R. Balooch Shahryari S. Salahshour D. Baleanu On Solutions of Linear Fractional Differential Equations with Uncertainty Abstract and Applied Analysis |
| title | On Solutions of Linear Fractional Differential Equations with Uncertainty |
| title_full | On Solutions of Linear Fractional Differential Equations with Uncertainty |
| title_fullStr | On Solutions of Linear Fractional Differential Equations with Uncertainty |
| title_full_unstemmed | On Solutions of Linear Fractional Differential Equations with Uncertainty |
| title_short | On Solutions of Linear Fractional Differential Equations with Uncertainty |
| title_sort | on solutions of linear fractional differential equations with uncertainty |
| url | http://dx.doi.org/10.1155/2013/178378 |
| work_keys_str_mv | AT tallahviranloo onsolutionsoflinearfractionaldifferentialequationswithuncertainty AT sabbasbandy onsolutionsoflinearfractionaldifferentialequationswithuncertainty AT mrbaloochshahryari onsolutionsoflinearfractionaldifferentialequationswithuncertainty AT ssalahshour onsolutionsoflinearfractionaldifferentialequationswithuncertainty AT dbaleanu onsolutionsoflinearfractionaldifferentialequationswithuncertainty |