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http://hdl.handle.net/10362/114148| Title: | New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties |
| Author: | Ortigueira, Manuel D. Tenreiro Machado, J. A. |
| Keywords: | bilinear transformation Discrete-time Fractional derivative Time scale General |
| Issue Date: | Sep-2020 |
| Citation: | Ortigueira, M. D., & Tenreiro Machado, J. A. (2020). New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties. Journal of Advanced Research, 25, 1-10. https://doi.org/10.1016/j.jare.2020.02.011 |
| Abstract: | In this paper we introduce new discrete-time derivative concepts based on the bilinear (Tustin) transformation. From the new formulation, we obtain derivatives that exhibit a high degree of similarity with the continuous-time Grünwald-Letnikov derivatives. Their properties are described highlighting one important feature, namely that such derivatives have always long memory. |
| Description: | UIDB/00066/2020 |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10362/114148 |
| DOI: | https://doi.org/10.1016/j.jare.2020.02.011 |
| ISSN: | 2090-1232 |
| Appears in Collections: | Home collection (FCT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| New_discrete_time_fractional_derivatives_based_on_the_bilinear_transformation_Definitions_and_properties.pdf | 821,66 kB | Adobe PDF | View/Open |
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