New results for a Caputo boundary value problem

Abstract

In this paper, we study a four point boundary problem fo r fractional d ifferential equations. We establish new existence and uniqueness results using th e Banach contraction principle. Other e xistence results are generated using t h e well known Schaefer’s fixed point theorem. To illustrate our results, we present some example s for the Banach contraction result. Other e xa mp les are a lso treated to illustrate our second ma in result.