PROPERTIES ON MEASURE PSEUDO ALMOST AUTOMORPHIC FUNCTIONS AND APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：0

作者：

Chang, Yong-Kui ^{[1
]}

Feng, Tian-Wei ^{[2
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China

[2] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Composition theorems; measure pseudo almost automorphic function; fractional differential equation; MILD SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; EXISTENCE; DELAY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish some new composition theorems on measure pseudo almost automorphic functions via measure theory. The obtained compositions theorems generalize those established under the wellknown Lipschitz conditions or the classical uniformly continuous conditions. Then using the theories of resolvent operators and fixed point theorem, we investigate the existence and uniqueness of measure pseudo almost automorphic solutions to a fractional differential equation in Banach spaces.

引用

页数：14

共 50 条

[1] 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
[2] Pseudo almost automorphic solutions for dissipative differential equations in Banach spaces
Ezzinbi, Khalil
Fatajou, Samir
N'Guerekata, Gaston Mandata
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (02) : 765 - 772
[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] Almost Automorphic Functions in Frechet Spaces and Applications to Differential Equations
Ciprian S. Gal
Sorin G. Gal
Gaston M. N'Guerekata
[J]. Semigroup Forum, 2005, 71 : 201 - 230
[5] Almost automorphic functions in Frechet spaces and applications to differential equations
Gal, CS
Gal, SG
N'Guérékata, GM
[J]. SEMIGROUP FORUM, 2005, 71 (02) : 201 - 230
[6] Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
Liang, Jin
N'Guerekata, Gaston M.
Xiao, Ti-Jun
Zhang, Jun
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (07) : 2731 - 2735
[7] PSEUDO ALMOST AUTOMORPHY OF SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Xia, Zhinan
Fan, Meng
Agarwal, Ravi P.
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (03) : 741 - 764
[8] 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
[9] Weighted pseudo almost automorphic functions and applications to abstract differential equations
Blot, J.
Mophou, G. M.
N'Guerekata, G. M.
Pennequin, D.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 903 - 909
[10] 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

← 1 2 3 4 5 →