Title :
On the “walking dead” derivatives: Riemann-Liouville and Caputo
Author :
Ortigueira, Manuel D.
Author_Institution :
Favulty of Sci. & Technol., Univ. Nova de Lisboa, Caparica, Portugal
Abstract :
The Riemann-Liouville and Caputo derivatives are analysed in the context of the linear system theory. For it an analysis framework is presented. It is shown that those derivatives are unsuitable for studying the linear systems and in particular define transfer function.
Keywords :
differentiation; linear systems; transfer functions; Caputo derivatives; Riemann-Liouville derivatives; linear system theory; transfer function; walking dead derivatives; Convolution; Eigenvalues and eigenfunctions; Laplace equations; Linear systems; Transfer functions;
Conference_Titel :
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location :
Catania
DOI :
10.1109/ICFDA.2014.6967433
