Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/39344
Title: | Generalized Taylor’s formula for power fractional derivatives |
Author: | Zitane, Hanaa Torres, Delfim F. M. |
Keywords: | Approximation of functions Mean value theorem Power fractional operators Taylor’s formula |
Issue Date: | Nov-2023 |
Publisher: | Birkhäuser; Springer |
Abstract: | We establish a new generalized Taylor’s formula for power fractional derivatives with nonsingular and nonlocal kernels, which includes many known Taylor’s formulas in the literature. Moreover, as a consequence, we obtain a general version of the classical mean value theorem. We apply our main result to approximate functions in Taylor’s expansions at a given point. The explicit interpolation error is also obtained. The new results are illustrated through examples and numerical simulations. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/39344 |
DOI: | 10.1007/s40590-023-00540-0 |
ISSN: | 1405-213X |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[541]Zitane_Torres.pdf | 482.38 kB | Adobe PDF | View/Open |
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