Pseudo-almost periodic solutions of a class of semilinear fractional differential equations

被引：24

作者：

Agarwal R.P. ^{[1
]}

Cuevas C. ^{[2
]}

Soto H. ^{[3
]}

机构：

[1] Department of Mathematical Sciences, Florida Institute of Technology, Melbourne

[2] Departamento de Matemática, Universidade Federal de Pernambuco, Recife

[3] Departamento de Matemática y Estadística, Universidad de la Frontera, Temuco

来源：

Journal of Applied Mathematics and Computing | 2011年 / 37卷 / 1-2期

关键词：

Fractional order differential equations; Mild solution; Pseudo-almost periodic (of class infinity) function;

D O I：

10.1007/s12190-010-0455-y

中图分类号：

学科分类号：

摘要：

We study existence and uniqueness of a pseudo-almost periodic (of class infinity) mild solution to the semilinear fractional equation ∂tαu=Au+∂t α-1f(·,u),1<α<2, where A is a linear operator of sectorial negative type. © 2010 Korean Society for Computational and Applied Mathematics.

引用

页码：625 / 634

页数：9

共 50 条

[1] Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
Agarwal, Ravi P.
de Andrade, Bruno
Cuevas, Claudio
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 3532 - 3554
[2] Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations
Cuevas, Claudio
Sepulveda, Alex
Soto, Herme
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1735 - 1745
[3] Pseudo almost periodic solutions to a class of semilinear differential equations
Diagana, Toka
[J]. NONLINEAR DYNAMICS, 2006, 45 (1-2) : 45 - 53
[4] Existence and uniqueness of pseudo-almost periodic solutions to semilinear differential equations and applications
Diagana, Toka
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (01) : 228 - 240
[5] Pseudo Almost Periodic Solutions to a Class of Semilinear Differential Equations
Toka Diagana
[J]. Nonlinear Dynamics, 2006, 45 : 45 - 53
[6] Weighted pseudo-almost periodic solutions of a class of abstract differential equations
Zhang, Liuwei
Xu, Yuantong
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3705 - 3714
[7] Mild pseudo-almost periodic solutions of nonautonomous semilinear evolution equations
Ding, Hui-Sheng
Liang, Jin
N'Guerekata, Gaston M.
Xiao, Ti-Jun
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2007, 45 (5-6) : 579 - 584
[8] Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications
Diagana, T
Mahop, CM
N'Guérékata, GM
Toni, B
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (11) : 2442 - 2453
[9] Weighted pseudo-almost periodic solutions to some differential equations
Diagana, Toka
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (08) : 2250 - 2260
[10] PSEUDO-ALMOST PERIODIC SOLUTIONS TO SOME FUNCTIONAL DIFFERENTIAL EQUATIONS
Xidong Sun
[J]. Annals of Applied Mathematics, 2010, 26 (02) : 215 - 221

← 1 2 3 4 5 →