This article is cited in 1 paper

Energy characteristics of the anomalous diffusion process

N. S. Arkashov^ab, V. A. Seleznev<sup>a

a</sup> Novosibirsk State Technical University, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: We consider an anomalous diffusion model in which space–time nonlocalities are generated by singular zones forming sub- and superdiffusion transfer regimes. The dynamical equation for these regimes appears in the form of the quasiparticle interaction law and is an analogue of the dynamical equation for the photon–electron interaction.

Keywords: anomalous diffusion, stationary process, Hausdorff measure, energy transfer, momentum transfer, Compton effect.

Received: 09.08.2018
Revised: 04.12.2018

DOI: 10.4213/tmf9616

 English version: Theoretical and Mathematical Physics, 2019, 199:3, 894–908

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