An approximation formula for the Katugampola integral
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 i...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | article |
| Language: | eng |
| Published: |
2016
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/15021 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/15021 |
| Summary: | 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. |
|---|