Asymptotic Behavior of Mild Solutions to Semilinear Fractional Differential Equations

J. Q. Zhao (), Y. K. Chang () and G. M. N’Guérékata ()
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J. Q. Zhao: Lanzhou Jiaotong University
Y. K. Chang: Lanzhou Jiaotong University
G. M. N’Guérékata: Morgan State University

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 1, No 10, 106-114

Abstract: Abstract This paper is mainly concerned with the asymptotically almost automorphic mild solutions to a semilinear fractional differential equation. Some asymptotic behavior of mild solutions to this equation has been established by properties and composition theorems of asymptotically almost automorphic functions and fixed point theorems.

Keywords: Asymptotically almost automorphic functions; Fractional differential equation; Leray–Schauder Alternative Theorem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0202-7

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