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Title: An approximation formula for the Katugampola integral
Author: Almeida, Ricardo
Bastos, Nuno R.O.
Keywords: Fractional calculus
Katugampola fractional integral
Numerical methods
Issue Date: 1-Jan-2016
Publisher: ILIRIAS Research Institute
Abstract: The objective of this paper is to present an approximation formula for the Katugampola fractional integral, that allows us to solve fractional problems with dependence on this type of fractional operator. The formula only depends on first-order derivatives, and thus converts the fractional problem into a standard one. With some examples, we show the accuracy of the method, and then we present the utility of the method by solving a fractional integral equation.
Peer review: yes
ISSN: 2217-3412
Publisher Version:
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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