On fractional integro-differential equations with state-dependent delay

Authors:
Ravi P. Agarwal;Bruno de Andrade;Giovana Siracusa
Affiliations:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA and Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran ...;Departamento de Matemática, Universidade Federal de Pernambuco, Recife-PE, CEP. 50540-740, Brazil;Departamento de Matemática, Universidade Federal de Pernambuco, Recife-PE, CEP. 50540-740, Brazil
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

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.