An approximation formula for the Katugampola integral
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2015
- DOI:
- 10.48550/arXiv.1512.03791
- arXiv:
- arXiv:1512.03791
- Bibcode:
- 2015arXiv151203791A
- Keywords:
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- Mathematics - General Mathematics
- E-Print:
- This is a preprint of a paper whose final and definite form will be published in Journal of Mathematical Analysis