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Existence results for fractional neutral integro-differential equations with state-dependent delay

Authors:	José Paulo Carvalho dos Santos,M. Mallika Arjunan

Affiliation:	^a Instituto de Ciências Exatas, Universidade Federal de Alfenas, Alfenas-MG, CEP. 37130-000, Brazil ^b Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore - 641 114, Tamil Nadu, India ^c Departamento de Matemática, Universidade Federal de Pernambuco, Recife-PE, CEP. 50540-740, Brazil

Abstract:	In this paper we study the existence of mild solutions for a class of abstract fractional neutral integro-differential equations with state-dependent delay. The results are obtained by using the Leray-Schauder alternative fixed point theorem. An example is provided to illustrate the main results.

Keywords:	Integro-differential equations Neutral equations State-dependent delay Caputo derivative
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