Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
Boundary Value Problems 2012, 2012:124 doi:10.1186/1687-2770-2012-124Published: 24 October 2012
We study the existence of solutions for a class of nonlinear Caputo-type fractional boundary value problems with nonlocal fractional integro-differential boundary conditions. We apply some fixed point principles and Leray-Schauder degree theory to obtain the main results. Some examples are discussed for the illustration of the main work.
MSC: 34A08, 34A12, 34B15.