Open Access Research

Partial neutral functional integro-differential equations of fractional order with delay

Saïd Abbas1, Mouffak Benchohra2 and Alberto Cabada3*

Author Affiliations

1 Laboratoire de Mathématiques, Université de Saïda, B.P. 138, Saïda, 20000, Algeria

2 Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, Sidi Bel-Abbès, 22000, Algeria

3 Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

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Boundary Value Problems 2012, 2012:128 doi:10.1186/1687-2770-2012-128

Published: 6 November 2012

Abstract

In this paper we obtain sufficient conditions for the existence of solutions of some classes of partial neutral integro-differential equations of fractional order by using suitable fixed point theorems.

MSC: 26A33.

Keywords:
integro-differential equation; left-sided mixed Riemann-Liouville integral of fractional order; Caputo fractional-order derivative; finite delay; infinite delay; solution; fixed point