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.
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页码：1143 / 1149
页数：7
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