Asymptotic behavior of mild solutions to semilinear fractional differential equations
This paper is concerned with the asymptotically almost automorphic mild solutions to semilinear fractional differential equations. From an applied perspective asymptotically periodic systems describe our world more realistically and more accurately than periodic ones. There is much interest in developing the qualitative theory and numerical methods to fractional differential equations, see the complementary references below, published recently: [\textit{H. R. Henríquez} and \textit{C. Cuevas}, Ann. Mat. Pura Appl. (4) 192, No. 3, 393--405 (2013; Zbl 1271.34078); \textit{H. Henríquez} et al., Commun. Pure Appl. Anal. 12, No. 5, 2031--2068 (2013; Zbl 1307.34122); \textit{B. de Andrade} et al., Math. Methods Appl. Sci. 35, No. 7, 795--811 (2012; Zbl 1243.45015); \textit{R. P. Agarwal} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1769--1798 (2011; Zbl 1221.34159)].
asymptotically almost automorphic functions
scientific article; zbMATH DE number 6161523
scientific article