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Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations

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-Krasnoselskii and Banach fixed point theorems.For applications purposes, some examples are provided to demonstrate the usefulness of our …