Initial Value Problem Should Not Be Associated to a Fractional Model Description Whatever the Derivative Definition Used
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Chapitre d'ouvrage
Este ítem está publicado en
Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21). 2022-01p. 26-37
Springer International Publishing
Resumen en inglés
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 ...Leer más >
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 simple examples (or counterexamples). The analysis is extended to the Riemann-Liouville and Grünwald-Letnikov definitions. These results thus question the validity of results produced in the field of fractional model analysis in which initial conditions are involved.< Leer menos
Palabras clave en inglés
Fractional derivative
Caputo definition
Riemann-Liouville definition
Grünwald-Letnikov definition
Initial conditions
Memory
Centros de investigación