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The relationship between the fractional integral and the fractal structure of a memory set

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dc.contributor.author Ren F.
dc.contributor.author Yu Z.
dc.contributor.author Zhou J.
dc.contributor.author Le Mehaute A.
dc.contributor.author Nigmatullin R.
dc.date.accessioned 2018-09-17T20:43:23Z
dc.date.available 2018-09-17T20:43:23Z
dc.date.issued 1997
dc.identifier.issn 0378-4371
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/133943
dc.description.abstract It is shown that there is no direct relation between the fractional exponent ν of the fractional integral and the fractal structure of the memory set considered, ν depends only on the first contraction coefficient ξ1 and the first weight P1 of the self-similar measure (or infinite self-similar measure) μ on the memory set. If and only if P1 = ξβ 1 (where β ∈ (0, 1) is the fractal dimension of the memory set), ν is equal to the fractal dimension of the memory set. It is also true that ν is continuous about ξ1 and P1.
dc.relation.ispartofseries Physica A: Statistical Mechanics and its Applications
dc.subject Flûx
dc.subject Laplace transform
dc.subject Memory measure
dc.subject Memory set
dc.subject Self-similar (or infinite self-similar) measure
dc.title The relationship between the fractional integral and the fractal structure of a memory set
dc.type Article
dc.relation.ispartofseries-issue 3-4
dc.relation.ispartofseries-volume 246
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 419
dc.source.id SCOPUS03784371-1997-246-34-SID0031331863


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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