Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

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-Krasnosel'skii and Banach fixed point theorems. For applications purposes, some examples are provided to demonstrate the usefulness of our main results.

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