On fractional integro-differential equations with state-dependent delay期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On fractional integro-differential equations with state-dependent delay

Authors:	Ravi P. Agarwal Bruno de Andrade

Affiliation:	^a Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA ^b Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia ^c Departamento de Matemática, Universidade Federal de Pernambuco, Recife-PE, CEP. 50540-740, Brazil

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.

Keywords:	Fractional integro-differential equations Sectorial operators Resolvent of operators State-dependent delay
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