Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions
We study the existence of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with nonlocal conditions in a separable Banach space . Combining the techniques of operator semigroup, noncompactness measures, and the fixed point theory, we obtain new existenc...
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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/10.1155/2013/723453 |
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| _version_ | 1849405131352702976 |
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| author | Fang Li |
| author_facet | Fang Li |
| author_sort | Fang Li |
| collection | DOAJ |
| description | We study the existence of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations
with nonlocal conditions in a separable Banach space . Combining the techniques of operator semigroup, noncompactness measures, and
the fixed point theory, we obtain new existence of mild solution without the assumptions that the nonlinearity satisfies a Lipschitz type condition and the semigroup generated by is compact. An application of the abstract result is also given. |
| format | Article |
| id | doaj-art-4714d3bb9d8e4fb0a78a9de3e2aea54c |
| 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-4714d3bb9d8e4fb0a78a9de3e2aea54c2025-08-20T03:36:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/723453723453Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal ConditionsFang Li0School of Mathematics, Yunnan Normal University, Kunming 650092, ChinaWe study the existence of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with nonlocal conditions in a separable Banach space . Combining the techniques of operator semigroup, noncompactness measures, and the fixed point theory, we obtain new existence of mild solution without the assumptions that the nonlinearity satisfies a Lipschitz type condition and the semigroup generated by is compact. An application of the abstract result is also given.http://dx.doi.org/10.1155/2013/723453 |
| spellingShingle | Fang Li Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions Abstract and Applied Analysis |
| title | Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions |
| title_full | Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions |
| title_fullStr | Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions |
| title_full_unstemmed | Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions |
| title_short | Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions |
| title_sort | existence for nonautonomous fractional integrodifferential equations with nonlocal conditions |
| url | http://dx.doi.org/10.1155/2013/723453 |
| work_keys_str_mv | AT fangli existencefornonautonomousfractionalintegrodifferentialequationswithnonlocalconditions |