PSEUDO ALMOST AUTOMORPHY OF SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：5

作者：

Xia, Zhinan ^{[1
,2
]}

Fan, Meng ^{[1
]}

Agarwal, Ravi P. ^{[3
,4
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, 5268 Renmin St, Changchun 130024, Jilin, Peoples R China

[2] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

[3] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[4] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, POB 80203, Jeddah 21589, Saudi Arabia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 03期

关键词：

fractional differential equation; (mu; v)-pseudo almost automorphy; sectorial operator; WEIGHTED PSEUDO; STEPANOV-LIKE; EXISTENCE;

D O I：

10.1515/fca-2016-0039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and uniqueness of (mu,v)-pseudo almost automorphic mild solutions to semilinear fractional differential equation with Riemann-Liouville derivative in Banach space, where the nonlinear perturbation is of (mu,v)-pseudo almost automorphic type or Stepanov-like (mu,v)-pseudo almost automorphic type. As application, we explore the same topic for a fractional relaxation-oscillation equation.

引用

页码：741 / 764

页数：24

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