Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities
A second-order semilinear Volterra integrodifferential equation involving fractional time derivatives is considered. We prove existence and uniqueness of mild solutions and classical solutions in appropriate spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/510314 |
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| _version_ | 1832564478548377600 |
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| author | Mokhtar Kirane Milan Medveď Nasser-eddine Tatar |
| author_facet | Mokhtar Kirane Milan Medveď Nasser-eddine Tatar |
| author_sort | Mokhtar Kirane |
| collection | DOAJ |
| description | A second-order semilinear Volterra integrodifferential equation involving fractional time derivatives is considered. We prove existence and uniqueness of mild solutions and classical solutions in appropriate spaces. |
| format | Article |
| id | doaj-art-667415a5d8e7420eb8e4504a236afc76 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-667415a5d8e7420eb8e4504a236afc762025-02-03T01:10:57ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/510314510314Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the NonlinearitiesMokhtar Kirane0Milan Medveď1Nasser-eddine Tatar2Université de la Rochelle, Avenue Michel Crépeau, 17042 La Rochelle Cedex 1, FranceDepartment of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Comenius University, Mlynska Doliná, 84248 Bratislava, SlovakiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaA second-order semilinear Volterra integrodifferential equation involving fractional time derivatives is considered. We prove existence and uniqueness of mild solutions and classical solutions in appropriate spaces.http://dx.doi.org/10.1155/2011/510314 |
| spellingShingle | Mokhtar Kirane Milan Medveď Nasser-eddine Tatar Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities Abstract and Applied Analysis |
| title | Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities |
| title_full | Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities |
| title_fullStr | Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities |
| title_full_unstemmed | Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities |
| title_short | Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities |
| title_sort | semilinear volterra integrodifferential problems with fractional derivatives in the nonlinearities |
| url | http://dx.doi.org/10.1155/2011/510314 |
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