Variational approach and deformed derivatives

@article{Weberszpil2016VariationalAA,
  title={Variational approach and deformed derivatives},
  author={J. Weberszpil and J. Helayel-Neto},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={2016},
  volume={450},
  pages={217-227}
}
Recently, we have demonstrated that there exists a possible relationship between q-deformed algebras in two different contexts of Statistical Mechanics, namely, the Tsallis’ framework and the Kaniadakis’ scenario, with a local form of fractional-derivative operators for fractal media, the so-called Hausdorff derivatives, mapped into a continuous medium with a fractal measure. Here, in this paper, we present an extension of the traditional calculus of variations for systems containing deformed… Expand
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