New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties
Manuel D. Ortigueira, J.A. Tenreiro Machado
Journal of Advanced Research · 2020
doi:10.1016/j.jare.2020.02.011 (opens in a new tab)
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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.
Abstract licence: CC BY-NC-ND
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