Boundary Value Problems
Volume 2009 (2009), Article ID 625347, 11 pages
doi:10.1155/2009/625347
Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions
Bashir Ahmad1
and Victoria Otero-Espinar2
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
We study the existence of solutions for a class of fractional differential inclusions with anti-periodic boundary conditions. The main result of the paper is based on Bohnenblust-Karlins fixed point theorem. Some applications of the main result are also discussed.