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Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions

Bashir Ahmad1* and Juan J Nieto1,2

Author Affiliations

1 Department of Mathematics, Faculty of Science, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia

2 Departamento de Análisis Matemático, Facultad de Matemáticas Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain

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Boundary Value Problems 2011, 2011:36 doi:10.1186/1687-2770-2011-36

Published: 17 October 2011

Abstract

This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions. Some new existence results are obtained by applying standard fixed point theorems.

2010 Mathematics Subject Classification: 26A33; 34A34; 34B15.

Keywords:
Riemann-Liouville calculus; fractional integro-differential equations; fractional boundary conditions; fixed point theorems