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http://hdl.handle.net/10773/11653| Title: | Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative |
| Author: | Pooseh, S. Almeida, R. Torres, D. F. M. |
| Keywords: | Fractional Calculus Hadamard fractional integrals Hadamard fractional derivatives Numerical approximations |
| Issue Date: | Feb-2012 |
| Publisher: | Taylor & Francis |
| Abstract: | We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/11653 |
| DOI: | 10.1080/01630563.2011.647197 |
| ISSN: | 0163-0563 |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| PoosehAlmeidaTorresHID.pdf | 232.22 kB | Adobe PDF | View/Open | |
| [221]PoosehAlmeidaTorres-Hadamard.pdf | 431.31 kB | Adobe PDF |  |
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