Almost Automorphic Solutions to Abstract Fractional Differential Equations. (2nd March 2010)

• Record Type: Journal Article
• Authors: Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
• Other Names: N'Guerekata Gaston Mandata Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2010(2010)
• Publication Date: 2010-03-02
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2010/508374
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equationD t α u ( t ) = A u ( t ) + D t α − 1 f ( t, u ( t ) ) ( 1 < α < 2 ), in complex Banach spaces, with Stepanov-like almost automorphic coefficients . Moreover, an application to a fractional relaxation-oscillation equation is given.