A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations. (13th May 2012)

• Record Type: Journal Article
• Authors: Li, Fang; Liang, Jin; Lu, Tzon-Tzer; Zhu, Huan
• Other Names: Yao Yonghong Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-05-13
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/901942
• Languages: English
• ISSNs: 1110-757X

Abstract

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.