On the averaging procedure over the Cantor set
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the averaging procedure over the Cantor set
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| Creator |
Stanislavsky, A.A.
Weron, K. |
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| Subject |
Anomalous diffusion, fractals, and chaos
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| Description |
The procedure of averaging a smooth function over the normalized density of the Cantor set (A. Le Mehaute, R.R. Nigmatullin, L. Nivanen. Fleches du temps et geometric fractale. Paris: “Hermes”, 1998, Chapter 5) has been shown not to reduce exactly the convolution to the classical fractional integral of Riemann-Liouville type. Although the asymptotic behavior of the self-similar convolution kernel is very close to the product of a power and a log-periodic function, this is not obviously enough to claim the direct relationship between the fractals and the fractional calculus.
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| Date |
2015-04-06T16:39:40Z
2015-04-06T16:39:40Z 2001 |
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| Type |
Article
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| Identifier |
On the averaging procedure over the Cantor set / A.A. Stanislavsky, K. Weron // Вопросы атомной науки и техники. — 2001. — № 6. — С. 245-246. — Бібліогр.: 6 назв. — англ.
1562-6016 PACS: 05.40.-a, 05.45.-a, 05.46.-k. http://dspace.nbuv.gov.ua/handle/123456789/79898 |
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| Language |
en
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| Relation |
Вопросы атомной науки и техники
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| Publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
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