Open Access Research

Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions

Bashir Ahmad and Ahmed Alsaedi*

Author Affiliations

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

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Boundary Value Problems 2012, 2012:124 doi:10.1186/1687-2770-2012-124

Published: 24 October 2012

Abstract

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.

Keywords:
fractional differential equations; fractional boundary conditions; separated boundary conditions; fixed point theorems