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.