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Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions

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  • Fang Li

Abstract

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.

Suggested Citation

  • Fang Li, 2013. "Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, November.
    • Handle: RePEc:hin:jnlaaa:723453
    DOI: 10.1155/2013/723453
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