Sur une généralisation de l'opérateur fractionnaire

Details Sur une généralisation de l'opérateur fractionnaire Sur une généralisation de l'opérateur fractionnaire

2011-11-08

arxiv.org/abs/1111.1898v1

Physics

Classical Physics

Scientific paper

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.

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