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arXiv · 1111.1898

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

Thomas Michelitsch·Gérard Maugin·Shahram Derogar·Andrzeij Nowakowski·Nicolleau Franck
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Abstract

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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Thomas Michelitsch, Gérard Maugin, Shahram Derogar, Andrzeij Nowakowski, Nicolleau Franck. 2011-11-08. Sur une g\'en\'eralisation de l'op\'erateur fractionnaire. https://arxiv.org/abs/1111.1898

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