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New discrete-time fractional derivatives based on the bilinear transformation: Definitions and properties.
- Source :
-
Journal of advanced research [J Adv Res] 2020 Feb 25; Vol. 25, pp. 1-10. Date of Electronic Publication: 2020 Feb 25 (Print Publication: 2020). - Publication Year :
- 2020
-
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.<br /> (© 2020 The Authors. Published by Elsevier B.V. on behalf of Cairo University.)
Details
- Language :
- English
- ISSN :
- 2090-1232
- Volume :
- 25
- Database :
- MEDLINE
- Journal :
- Journal of advanced research
- Publication Type :
- Academic Journal
- Accession number :
- 32922968
- Full Text :
- https://doi.org/10.1016/j.jare.2020.02.011