Almost Automorphic Solutions to Abstract Fractional Differential Equations

A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation Dtαu(t)=Au(t)+Dtα−1f(t,u(t))  (1<α<2), in complex Banach spaces...

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Bibliographic Details
Main Authors: Ti-Jun Xiao, Hui-Sheng Ding, Jin Liang
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2010/508374