New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties
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...
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| Format: | article |
| Language: | eng |
| Published: |
2021
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| Online Access: | http://hdl.handle.net/10400.22/19020 |
| Country: | Portugal |
| Oai: | oai:recipp.ipp.pt:10400.22/19020 |
| Summary: | 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. |
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