On a connection between a class of q-deformed algebras and the Hausdorff derivative in a medium with fractal metric

J. Weberszpil, Matheus Jatkoske Lazo and J.A. Helayël-Neto

Physica A: Statistical Mechanics and its Applications, 2015, vol. 436, issue C, 399-404

Abstract: Over the recent decades, diverse formalisms have emerged that are adopted to approach complex systems. Amongst those, we may quote the q-calculus in Tsallis’ version of Non-Extensive Statistics with its undeniable success whenever applied to a wide class of different systems; Kaniadakis’ approach, based on the compatibility between relativity and thermodynamics; Fractional Calculus (FC), that deals with the dynamics of anomalous transport and other natural phenomena, and also some local versions of FC that claim to be able to study fractal and multifractal spaces and to describe dynamics in these spaces by means of fractional differential equations.

Keywords: Hausdorff derivative; Fractal; Local fractional calculus; q-deformed algebra; k-deformed algebra (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:436:y:2015:i:c:p:399-404

DOI: 10.1016/j.physa.2015.05.063

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