Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 901942, 18 pages.

A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations

Fang Li, Jin Liang, Tzon-Tzer Lu, and Huan Zhu

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Abstract

This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. As an application, the existence of the mild solution to a nonlocal Cauchy problem for a concrete integrodifferential equation is obtained.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 901942, 18 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357180324

Digital Object Identifier
doi:10.1155/2012/901942

Mathematical Reviews number (MathSciNet)
MR2923359

Zentralblatt MATH identifier
1244.45002

Citation

Li, Fang; Liang, Jin; Lu, Tzon-Tzer; Zhu, Huan. A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations. J. Appl. Math. 2012, Special Issue (2012), Article ID 901942, 18 pages. doi:10.1155/2012/901942. https://projecteuclid.org/euclid.jam/1357180324


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