Abstract and Applied Analysis

Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions

Fang Li

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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 ( t A ( s ) ) } generated by { A ( s ) } s [ 0 , T ] is compact. An application of the abstract result is also given.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 723453, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450385

Digital Object Identifier
doi:10.1155/2013/723453

Mathematical Reviews number (MathSciNet)
MR3129358

Zentralblatt MATH identifier
07095283

Citation

Li, Fang. Existence for Nonautonomous Fractional Integrodifferential Equations with Nonlocal Conditions. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 723453, 8 pages. doi:10.1155/2013/723453. https://projecteuclid.org/euclid.aaa/1393450385


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