  This manuscript investigates the existence and uniqueness of solutions to the
first order fractional anti-periodic boundary value problem involving
Caputo-Katugampola (CK) derivative. A variety of tools for analysis this paper
through the integral equivalent equation of the given problem, fixed point
theorems of Leray--Schauder, Krasnoselskii's, and Banach are used. Examples of
the obtained results are also presented.
