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

共 50 条

[1] Pseudo almost automorphy of semilinear fractional differential equations in Banach Spaces
Zhinan Xia
Meng Fan
Ravi P. Agarwal
[J]. Fractional Calculus and Applied Analysis, 2016, 19 : 741 - 764
[2] Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
Xiao, Ti-Jun
Liang, Jin
Zhang, Jun
[J]. SEMIGROUP FORUM, 2008, 76 (03) : 518 - 524
[3] Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
Ti-Jun Xiao
Jin Liang
Jun Zhang
[J]. Semigroup Forum, 2008, 76 : 518 - 524
[4] Integral Inequalities and Pseudo Almost Automorphic Solutions to Semilinear Differential Equations in Banach Spaces
Chang, Jung-Chan
Luor, Dah-Chin
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4353 - 4368
[5] Integral Inequalities and Pseudo Almost Automorphic Solutions to Semilinear Differential Equations in Banach Spaces
Jung-Chan Chang
Dah-Chin Luor
[J]. Mediterranean Journal of Mathematics, 2016, 13 : 4353 - 4368
[6] Semilinear Conformable Fractional Differential Equations in Banach Spaces
Anjali Jaiswal
D. Bahuguna
[J]. Differential Equations and Dynamical Systems, 2019, 27 : 313 - 325
[7] Semilinear Conformable Fractional Differential Equations in Banach Spaces
Jaiswal, Anjali
Bahuguna, D.
[J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2019, 27 (1-3) : 313 - 325
[8] PSEUDO ALMOST AUTOMORPHY OF TWO-TERM FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Xia, Zhinan
Chai, Jinliang
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (06): : 1604 - 1644
[9] Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces
Edgardo Alvarez
Carlos Lizama
[J]. Advances in Difference Equations, 2015
[10] NONLOCAL FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS IN SEPARABLE BANACH SPACES
Li, Kexue
Peng, Jigen
Gao, Jinghuai
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

← 1 2 3 4 5 →