Sur une g\'en\'eralisation de l'op\'erateur fractionnaire

Autor: Michelitsch, Thomas, Maugin, Gérard, Derogar, Shahram, Nowakowski, Andrzeij, Franck, Nicolleau
Rok vydání: 2011
Předmět:
Druh dokumentu: Working Paper
Popis: The goal of this communication is to propose a generalized notion of the "traditional derivative". This generalization includes the fractional derivatives such as the Riemann-Liouville, Gruenwald-Letnikov, Weyl, Riesz, Caputo, Marchaud derivatives and other variants as special cases. The approach is useful to describe mechanical problems in material systems with microstructures without characteristic scale such as self-similar and fractal materials.
Databáze: arXiv