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The objective of this paper is to present an approximation formula for theKatugampola fractional integral, that allows us to solve fractional problemswith dependence on this type of fractional operator. The formula only dependson first-order derivatives, and thus we convert the fractional problem into astandard one. With some examples we show the accuracy of the method, and thenwe present the utility of the method by solving a fractional integral equation.

An approximation formula for the Katugampola integral