ATTRACTIVITY FOR FRACTIONAL EVOLUTION EQUATIONS WITH ALMOST SECTORIAL OPERATORS

被引：56
|
作者：
Zhou, Yong [1 ]
机构：
[1] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2018年 / 21卷 / 03期
基金：
中国国家自然科学基金;
关键词：
fractional evolution equations; attractivity; Caputo derivative; Riemann-Liuoville derivative; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.1515/fca-2018-0041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we initiate the question of the attractivity of solutions for fractional evolution equations with almost sectorial operators. We establish sufficient conditions for the existence of globally attractive solutions for the Cauchy problems in cases that semigroup is compact as well as non-compact. Our results essentially reveal certain characteristics of solutions for fractional evolution equations, which are not possessed by integer order evolution equations.
引用
收藏
页码：786 / 800
页数：15
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