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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| Main Author: | |
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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/10.1155/2013/723453 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |