Time-space fabric underlying anomalous diffusion

@article{Chen2006TimespaceFU,
  title={Time-space fabric underlying anomalous diffusion},
  author={W. Chen},
  journal={Chaos Solitons \& Fractals},
  year={2006},
  volume={28},
  pages={923-929}
}
  • W. Chen
  • Published 2006
  • Physics, Mathematics
  • Chaos Solitons & Fractals
Abstract This study unveils the time–space transforms underlying anomalous diffusion process. Based on this finding, we present the two hypotheses concerning the effect of fractal time–space fabric on physical behaviors and accordingly derive fractional quantum relationships between energy and frequency, momentum and wavenumber which further give rise to fractional Schrodinger equation. As an alternative modeling approach to the standard fractional derivatives, we introduce the concept of the… Expand
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