Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

Abstract

The present paper deals with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations with Katugampola fractional derivative. The main results are proved by means of Guo-Krasnoselskii and Banach fixed point theorems. For applications purposes, some examples are provided to demonstrate the usefulness of our main results. AMS Subject Classification: 34A08, 34A37.