Existence Results for a Fractional Equation with State-Dependent Delay

<p/> <p>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.</p>

Bibliographic Details
Main Authors: Cuevas Claudio, de Andrade Bruno, dos Santos Jos&#233;PauloCarvalho
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2011/642013
Description
Summary:<p/> <p>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.</p>
ISSN:1687-1839
1687-1847