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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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Detalhes bibliográficos
Publicado no:J Adv Res
Main Authors: Ortigueira, Manuel D., Tenreiro Machado, J.A.
Formato: Artigo
Idioma:Inglês
Publicado em: Elsevier 2020
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC7474201/
https://ncbi.nlm.nih.gov/pubmed/32922968
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1016/j.jare.2020.02.011
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