In this paper, [Formula: see text]-deformed mechanics was presented with the [Formula: see text]-deformed translation symmetry based on [Formula: see text]-addition and [Formula: see text]-subtraction. The [Formula: see text]-deformed Langevin… Click to show full abstract
In this paper, [Formula: see text]-deformed mechanics was presented with the [Formula: see text]-deformed translation symmetry based on [Formula: see text]-addition and [Formula: see text]-subtraction. The [Formula: see text]-deformed Langevin equation is also discussed. Finally, the anomalous diffusion relation is derived from the [Formula: see text]-deformed Langevin equation.
               
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