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

Authors:
José Paulo Carvalho dos Santos;M. Mallika Arjunan;Claudio Cuevas
Affiliations:
Instituto de Ciências Exatas, Universidade Federal de Alfenas, Alfenas-MG, CEP. 37130-000, Brazil;Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore - 641 114, Tamil Nadu, India;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 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.