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Matematicheskoe modelirovanie, 1995, Volume 7, Number 4, Pages 53–63
(Mi mm1685)
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This article is cited in 1 scientific paper (total 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.
Received: 25.06.1992
Citation:
M. M. Khasanov, “A scale-invariance of the relaxation times hierarchy of viscoelastic substances”, Matem. Mod., 7:4 (1995), 53–63
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https://www.mathnet.ru/eng/mm1685 https://www.mathnet.ru/eng/mm/v7/i4/p53
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Abstract page: | 353 | Full-text PDF : | 171 | First page: | 1 |
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