The non-integer operation associated to random variation sets of the self-similar set

When memory sets are random variation sets of the self-similar set and the total number of remaining states in each stage of the division of this set is normalized to unity, the corresponding flux and fractional integral are “robust” and stable under some conditions. This answers an open problem proposed by Alian Le Mehaute et al. in their book entitled Irreversibilitê Temporel et Geometrie Fractale.

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Year of publication:	2000
Authors:	Ren, Fu-Yao ; Liang, Jin-Rong
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 286.2000, 1, p. 45-55
Publisher:	Elsevier
Subject:	Flux \| Memory function \| Memory measure \| Laplace transform

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10011064440