Attractivity for fractional evolution equations with almost sectorial operators-Reference-Cited by-同舟云学术

Attractivity for fractional evolution equations with almost sectorial operators

Published:2018-06-01 Issue:3 Volume:21 Page:786-800
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Zhou Yong¹

Affiliation:

1. Faculty of Mathematics and Computational Science Xiangtan University Hunan 411105 , P.R. China

Abstract

Abstract 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 noncompact. Our results essentially reveal certain characteristics of solutions for fractional evolution equations, which are not possessed by integer order evolution equations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2018-0041/pdf

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