Initial Value Problem Should Not Be Associated to a Fractional Model Description Whatever the Derivative Definition Used
Langue
EN
Chapitre d'ouvrage
Ce document a été publié dans
Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21). 2022-01p. 26-37
Springer International Publishing
Résumé en anglais
The paper shows that the Caputo definition of fractional differentiation is problematic if it is used in the definition of a fractional model and if initial conditions are taken into account. The demonstration is done using ...Lire la suite >
Mots clés en anglais
Fractional derivative
Caputo definition
Riemann-Liouville definition
Grünwald-Letnikov definition
Initial conditions
Memory