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

Fu-Yao Ren and Jin-Rong Liang

Physica A: Statistical Mechanics and its Applications, 2000, vol. 286, issue 1, 45-55

Abstract: 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.

Keywords: Flux; Memory function; Memory measure; Laplace transform (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:286:y:2000:i:1:p:45-55

DOI: 10.1016/S0378-4371(00)00320-4

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