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Continuous Medium Model for Fractal Media

Disordered Systems and Neural Networks 2016-08-31 v1 Materials Science Mathematical Physics math.MP Chaotic Dynamics Classical Physics Fluid Dynamics

Abstract

We consider the description of the fractal media that uses the fractional integrals. We derive the fractional generalizations of the equation that defines the medium mass. We prove that the fractional integrals can be used to describe the media with noninteger mass dimensions. The fractional equation of continuity is considered.

Keywords

Cite

@article{arxiv.cond-mat/0506137,
  title  = {Continuous Medium Model for Fractal Media},
  author = {Vasily E. Tarasov},
  journal= {arXiv preprint arXiv:cond-mat/0506137},
  year   = {2016}
}

Comments

11 pages, LaTeX