Existence theory for n th order nonlocal integral boundary value problems and extension to fractional case

Abstract

This paper is devoted to the study of the existence and uniqueness of solutions for n th order differential equations with nonlocal integral boundary conditions. Our results are based on a variety of fixed point theorems. Some illustrative examples are discussed. We also discuss the Caputo type fractional analogue of the higher-order problem of ordinary differential equations. © 2013 Bashir Ahmad et al.