Analysis of fractional boundary value problem with non local flux multi-point conditions on a Caputo fractional differential equation

Abstract

A brief analysis of boundary value problem of Caputo fractional differential equation with nonlocal flux multi-point boundary conditions has been done. The investigation depends on the Banach fixed point theorem and Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk, a fixed point theorem due O'Regan. Relevant examples illustrating the main results are also constructed.