An approximation formula for the Katugampola integral
General Mathematics
2015-12-14 v1
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 we convert 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.
Cite
@article{arxiv.1512.03791,
title = {An approximation formula for the Katugampola integral},
author = {Ricardo Almeida and Nuno R. O. Bastos},
journal= {arXiv preprint arXiv:1512.03791},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Journal of Mathematical Analysis