S-Asymptotically ω-Periodic Mild Solutions of Neutral Fractional Differential Equations with Finite Delay in Banach Space

被引：0

作者：

Li, Fang ^{[1
]}

Wang, Huiwen ^{[1
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650092, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 02期

关键词：

Analytic semigroup; Caputo derivative; neutral fractional differential equation; S-asymptotically omega-periodic; finite delay;

D O I：

10.1007/s00009-017-0855-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some results concerning the existence and uniqueness of S-asymptotically omega-periodic solutions for a class of nonlinear fractional differential equations with finite delay in Banach space X. These results are new even in the case of X = R-n. Moreover, we apply the above results to study the S-asymptotically omega-periodicity for the fractional-order diffusion equations and the fractional-order autonomous neural networks with delay.

引用

页数：16

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