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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 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.

Suggested Citation

  • Fang Li, 2013. "Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:723453
    DOI: 10.1155/2013/723453
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    References listed on IDEAS

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    1. Mahmoud M. El-Borai, 2004. "The fundamental solutions for fractional evolution equations of parabolic type," International Journal of Stochastic Analysis, Hindawi, vol. 2004, pages 1-15, January.
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