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...
Main Authors: | Manuel D. Ortigueira, J.A. Tenreiro Machado |
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Format: | Article |
Language: | English |
Published: |
Elsevier
2020-09-01
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Series: | Journal of Advanced Research |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2090123220300357 |
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