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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 1, Pages 115–132
DOI: https://doi.org/10.4213/tmf9295 (Mi tmf9295) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Formation of a relation of nonlocalities in the anomalous diffusion model

N. S. Arkashovab, V. A. Seleznevb

a Novosibirsk State Technical University, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (536 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf9295
Abstract: We construct a model of a random walk in which the relation of space–time nonlocalities is defined by the structure of memory flow and a stochastic force model. The proposed model allows computing the parameters that characterize the nonlocality of the medium exposure and the particle memory.
Keywords: anomalous diffusion, memory flow, space–time nonlocality, nonlocality parameter, Cantor staircase, fractional (fractal) Brownian motion, scale invariance.
Received: 30.10.2016
Revised: 09.01.2017
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 1, Pages 1508–1523
DOI: https://doi.org/10.1134/S0040577917100087
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. S. Arkashov, V. A. Seleznev, “Formation of a relation of nonlocalities in the anomalous diffusion model”, TMF, 193:1 (2017), 115–132; Theoret. and Math. Phys., 193:1 (2017), 1508–1523
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v193/i1/p115
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:64
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