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http://hdl.handle.net/10773/31391| Title: | Cauchy’s formula on nonempty closed sets and a new notion of Riemann–Liouville fractional integral on time scales |
| Author: | Torres, Delfim F. M. |
| Keywords: | Fractional calculus Time-scale calculus Fractional integrals on time scales Cauchy formula for repeated integration on time scales Riemann–Liouville and Caputo operators |
| Issue Date: | Nov-2021 |
| Publisher: | Elsevier |
| Abstract: | We prove Cauchy’s formula for repeated integration on time scales. The obtained relation gives rise to new notions of fractional integration and differentiation on arbitrary nonempty closed sets. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/31391 |
| DOI: | 10.1016/j.aml.2021.107407 |
| ISSN: | 0893-9659 |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Cauchy’s formula on nonempty closed sets and a new notion.pdf | 539.67 kB | Adobe PDF | View/Open |
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