Existence Results for a Fractional Equation with State-Dependent Delay

Advances in Difference Equations

Bruno de Andrade¹  Jos Paulo Carvalho dos Santos²  Claudio Cuevas³ 

[1] Departamento de MatemáInstituto de Ciências Exatas, Universidade Federal de Alfenas, Alfenas, Brazil;o Carlos, Brazil;o Carlos, Sãtica, ICMC, USP-Sãtica, Universidade Federal de Pernambuco, Recife, Brazil

关键词: Banach Space;    Classical Solution;    Bounded Linear Operator;    Mild Solution;    Fractional Differential Equation;   

DOI  :  10.1155/2011/642013

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY