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

  title={On a connection between a class of q-deformed algebras and the Hausdorff derivative in a medium with fractal metric},
  author={Jos{\'e} Weberszpil and Matheus J. Lazo and Jos'e Abdalla Helayel-Neto},
  journal={Physica A-statistical Mechanics and Its Applications},
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… Expand
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