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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2010-01-01
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Series: | Advances in Difference Equations |
Online Access: | http://dx.doi.org/10.1155/2010/158789 |