Almost Automorphic Solutions to Abstract Fractional Differential Equations

被引：8

作者：

Ding, Hui-Sheng ^{[1
]}

Liang, Jin ^{[2
]}

Xiao, Ti-Jun ^{[3
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

基金：

高等学校博士学科点专项科研基金;

关键词：

Abstract Result; Uniqueness Theorem; Mild Solution; Fractional Differential Equation; Lipschitz Constant;

D O I：

10.1155/2010/508374

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation D(t)(alpha)u(t) = Au(t) + D(t)(alpha-1)f(t,u(t)) (1 < alpha < 2), in complex Banach spaces, with Stepanov-like almost automorphic coe. cients. Moreover, an application to a fractional relaxation-oscillation equation is given.

引用

页数：9

共 50 条

[41] On the Existence of Almost Automorphic Generalized Solutions to Some Differential Equations
Elomari, M.
Chaib, M.
Melliani, S.
[J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
[42] ALMOST AUTOMORPHIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT
Zhang, Li-Li
Li, Hong-Xu
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 90 (01) : 99 - 112
[43] Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations
Baroun, M.
Maniar, L.
N'Guerekata, G. M.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) : 2114 - 2124
[44] Almost Automorphic Solutions of Non-autonomous Differential Equations
Hailong Zhu
Fang-Fang Liao
[J]. Bulletin of the Iranian Mathematical Society, 2018, 44 : 205 - 223
[45] On some classes of almost automorphic functions and applications to fractional differential equations
Mophou, G. M.
N'Guerekata, G. M.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1310 - 1317
[46] Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations
Cheban, David
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2018, 33 (04): : 667 - 690
[47] Almost automorphic solutions for some partial functional differential equations
Ezzinbi, Khalil
N'Guerekata, Gaston Mandata
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 344 - 358
[48] Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay
Li, Fang
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[49] Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay
Fang Li
[J]. Advances in Difference Equations, 2013
[50] PC-Almost Automorphic Solution of Impulsive Fractional Differential Equations
Mahto, Lakshman
Abbas, Syed
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (03) : 771 - 790

← 1 2 3 4 5 →