Existence of Asymptotically Almost Automorphic Mild Solutions of Semilinear Fractional Differential Equations

This paper is concerned with the existence of asymptotically almost automorphic mild solutions to a class of abstract semilinear fractional differential equations Dtαxt=Axt+Dtα-1Ft,xt,Bxt,  t∈R, where 1<α<2, A is a linear densely defined operator of sectorial type on a complex Banach space X a...

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Bibliographic Details
Main Authors: Junfei Cao, Zaitang Huang, Gaston M. N’Guérékata
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2018/8243180
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