Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations

被引：39

作者：

Cuevas, Claudio ^{[1
]}

Sepulveda, Alex ^{[2
]}

Soto, Herme ^{[2
]}

机构：

[1] Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil

[2] Univ La Frontera Casilla, Dept Matemat & Estadist, Temuco 54D, Chile

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 05期

关键词：

Fractional order differential equations; Integro-differential equations; Mild solutions; Stepanov almost periodic functions; Stepanov-like pseudo-almost periodic functions; NONAUTONOMOUS EVOLUTION-EQUATIONS; MILD SOLUTIONS; ASYMPTOTIC-BEHAVIOR; VOLTERRA-EQUATIONS; STEPANOV; EXISTENCE;

D O I：

10.1016/j.amc.2011.06.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

We study the existence of almost periodic (resp., pseudo-almost periodic) mild solutions for fractional differential and integro-differential equations in the case when the forcing term belongs to the class of Stepanov almost (resp., Stepanov-like pseudo-almost) periodic functions. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1735 / 1745

页数：11

共 54 条

[1]

Agarwal RP, 2010, J NONLINEAR CONVEX A, V11, P309

[2]

Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations [J].

Agarwal, Ravi P. ;

de Andrade, Bruno ;

Cuevas, Claudio .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :3532-3554

[3]

On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations [J].

Agarwal, Ravi P. ;

de Andrade, Bruno ;

Cuevas, Claudio .

ADVANCES IN DIFFERENCE EQUATIONS, 2010,

[4]

Amerio L., 1971, Almost-periodic functions and functional equations

[5]

Andres J., 2001, TOPOL METHOD NONL AN, V18, P337

[6]

[Anonymous], 1991, INT J MATH MATH SCI, DOI DOI 10.1155/S0161171291001023

[7]

[Anonymous], 1955, HIGHER TRANSCENDENTA

[8]

[Anonymous], 1990, ENCY MATH APPL

[9]

[Anonymous], 1993, EVOLUTIONARY INTEGRA

[10]

[Anonymous], 2007, Discrete Contin. Dyn. Syst., DOI 10.3934/proc.2007.2007.277

← 1 2 3 4 5 6 →