Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

Abstract

In this paper, we investigate the existence and uniqueness of solutions for a class of fractional di(cid:27)erential equations with boundary conditions in the frame of Riesz-Caputo operators. We apply the methods of functional analysis such that the uniqueness result is established by using Banach’s contraction principle, whereas Schaefer’s and Krasnoslkii’s (cid:28)xed point theorems are applied to obtain existence results. Some examples are given to illustrate our acquired results.