Existence Results for a Fractional Equation with State-Dependent Delay

被引:0
|
作者
José Paulo Carvalho dos Santos
Claudio Cuevas
Bruno de Andrade
机构
[1] Universidade Federal de Alfenas,Instituto de Ciências Exatas
[2] Universidade Federal de Pernambuco,Departamento de Matemática
[3] USP-São Carlos,Departamento de Matemática, ICMC
来源
Advances in Difference Equations | / 2011卷
关键词
Banach Space; Classical Solution; Bounded Linear Operator; Mild Solution; Fractional Differential Equation;
D O I
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学科分类号
摘要
We provide sufficient conditions for the existence of mild solutions for a class of abstract fractional integrodifferential equations with state-dependent delay. A concrete application in the theory of heat conduction in materials with memory is also given.
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