Existence and uniqueness results for a two-point nonlinear boundary value problem of Caputo fractional differential equations of variable order

Abstract

In this article, we study the existence and uniqueness of solutions for a twopoint boundary value problem of Caputo fractional differential equation of variable order. The results are obtained by means of Banach’s and Krasnoselskii’s fixed point theorems. In addition, the obtained results are illustrated with the aid of a numerical example.