S-asymptotically ω-positive periodic solutions for a class of neutral fractional differential equations

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• 作者：Xiao-Bao Shu ; ^a ; ^{sxb0221@163.com" class="auth_mail" title="E-mail the corresponding author} ; Fei Xu^b ; Yajing Shi^a
• 关键词：Fractional abstract differential equation ; Neutral fractional differential equations ; S-asymptotically ω-positive periodic solutions ; Mild solutions ; Analytic semigroups ; Fading space
• 刊名：Applied Mathematics and Computation
• 出版年：2015
• 出版时间：1 November 2015
• 年：2015
• 卷：270
• 期：Complete
• 页码：768-776
• 全文大小：320 K

文摘

In this paper, we investigate the existence of the S-asymptotically ω-positive periodic solutions to a class of semilinear neutral Caputo fractional differential equations with infinite delay, given byThe function is considered in a Banach space X for 0 < α   < 1. Here −A$-A$ denotes the infinitesimal generator of an analytic semigroup {T(t)}_{t ≥ 0}.