Existence Theory for nth Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case

الملخص EN

This paper is devoted to the study of the existence and uniqueness of solutions for nth 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.