On fractional integro-differential equations with state-dependent delay

被引：106

作者：

Agarwal, Ravi P. ^{[1
,2
]}

de Andrade, Bruno ^{[3
]}

Siracusa, Giovana ^{[3
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期

关键词：

Fractional integro-differential equations; Sectorial operators; Resolvent of operators; State-dependent delay; FUNCTIONAL-DIFFERENTIAL EQUATIONS; PERIODIC-SOLUTIONS; EXISTENCE; IDENTIFICATION; APPROXIMATION;

D O I：

10.1016/j.camwa.2011.02.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we provide sufficient conditions for the existence of mild solutions for a class of fractional integro-differential equations with state-dependent delay. A concrete application in the theory of heat conduction in materials with memory is also given. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1143 / 1149

页数：7

共 47 条

[1] STABILITY AND HOPF BIFURCATION FOR A CELL POPULATION MODEL WITH STATE-DEPENDENT DELAY [J].

Adimy, Mostafa ;

Crauste, Fabien ;

Lhassan Hbid, My ;

Qesmi, Redouane .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2010, 70 (05) :1611-1633

[2] A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative [J].

Agarwal, Ravi P. ;

Belmekki, Mohammed ;

Benchohra, Mouffak .

ADVANCES IN DIFFERENCE EQUATIONS, 2009, :1-47

[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]

Agarwal RP, 2009, GEORGIAN MATH J, V16, P401

[5] A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions [J].

Agarwal, Ravi P. ;

Benchohra, Mouffak ;

Hamani, Samira .

ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) :973-1033

[6]

[Anonymous], 1985, N HOLLAND MATH STUDI

[7]

[Anonymous], 1987, NONLINEAR OPERATORS

[8]

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

[9]

Arendt W., 2001, Monographs in Mathematics, V96

[10]

Arino O., 2000, Nonlinear Analysis: Real World Application, V1, P69, DOI 10.1016/S0362-546X(99)00394-6

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