Boundary Value Problems
Volume 2009 (2009), Article ID 708576, 11 pages
doi:10.1155/2009/708576
Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
Bashir Ahmad1
and Juan J. Nieto2
1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Abstract
This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order q∈(1,2] with integral boundary conditions. Our results are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem.