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

@article{Weberszpil2015OnAC, title={On a connection between a class of q-deformed algebras and the Hausdorff derivative in a medium with fractal metric}, author={J. Weberszpil and M. J. Lazo and J. Helayel-Neto}, journal={Physica A-statistical Mechanics and Its Applications}, year={2015}, volume={436}, pages={399-404} }

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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#### References

SHOWING 1-10 OF 84 REFERENCES

From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series

- Mathematics
- 2009

An approach to differential geometry of fractional order via modified Riemann-Liouville derivative

- Mathematics
- 2012

Fractional Dirac bracket and quantization for constrained systems.

- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2011

A possible deformed algebra and calculus inspired in nonextensive thermostatistics

- Mathematics, Physics
- 2004