Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions

Fang Li

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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 X. 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 f satisfies a Lipschitz type condition and the semigroup {exp(−tA(s))} generated by {−A(s)}s∈[0,T] is compact. An application of the abstract result is also given.

Date: 2013
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https://doi.org/10.1155/2013/723453

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:723453

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