Asymptotic behavior of mild solutions to semilinear fractional differential equations
type: Item
instance of: scholarly article
title: Asymptotic behavior of mild solutions to semilinear fractional differential equations
zbMATH Open document ID: 1281.34014
author: J. Q. Zhao
author: Yong Kui Chang
author: G. M. N'Guérékata
published in: Journal of Optimization Theory and Applications
publication date: 2013-05-08T00:00:00Z
review text: 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)].
reviewed by: Claudio Cuevas
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 43A60
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6161523
zbMATH Keywords: asymptotically almost automorphic functions
zbMATH Keywords: fractional differential equation
zbMATH Keywords: Leray-Schauder alternative theorem
MaRDI profile type: Publication
full work available at URL: s10957-012-0202-7
OpenAlex ID: W2056100591
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DOI: 10.1007/S10957-012-0202-7
description: scientific article; zbMATH DE number 6161523