RUS  ENG
Full version
JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 1995 Volume 7, Number 4, Pages 53–63 (Mi mm1685)

This article is cited in 1 paper

Mathematical models and computer experiment

A scale-invariance of the relaxation times hierarchy of viscoelastic substances

M. M. Khasanov

Baku State University

Abstract: It is shown that the hierarchy of relaxation times of viscoelastic substances has fractal (scale-invariant) structure. This property simplifies the description of viscoelastic substances, giving us a posibility to use universal relaxation functions which can be calculated very easily. It is shown that a self-similar dynamics of the relaxation processes can be governed by the equations which contain fractional-order derivatives.

UDC: 533.539

Received: 25.06.1992



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025