On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite DelayReport as inadecuate




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Journal of Applied MathematicsVolume 2012 2012, Article ID 916543, 19 pages

Research Article

School of Mathematics, Yunnan Normal University, Kunming 650092, China

Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan

Received 12 February 2012; Accepted 25 February 2012

Academic Editor: Yonghong Yao

Copyright © 2012 Fang Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s fixed point theorem. An example is given to illustrate the existence result.





Author: Fang Li, Ti-Jun Xiao, and Hong-Kun Xu

Source: https://www.hindawi.com/



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