Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations

We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations dqu(t)/dtq+Au(t)=f(t,u(t))+∫0ta(t−s)g(s,u(s))ds, t∈[0,T], u(0)=u0, in a Banach space X, where 0<q<1. New results are obtained...

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Bibliographic Details
Main Authors: Fang Li, Gaston M. N'Guérékata
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2010/158789