Generalized diffusion equation in the fractional derivatives in Renyi statistics

Authors

  • Петро Костробій Lviv Polytechnic National University
  • Богдан Маркович Lviv Polytechnic National University
  • Олександра Візнович Lviv Polytechnic National University
  • Михайло Токарчук Lviv Polytechnic National University

Keywords:

generalized diffusion equation, nonequilibrium statistical operator, statistics Renyi, abnormal diffusion

Abstract

Within the Renyi statistics by the method of the nonequilibrium statistical operator of Zubarev,
the generalized diffusion equation in fractional derivatives is obtained. The Liouville equation in
fractional derivatives has been used. Averaging of the generalized diffusion coefficient is
performed according to a power-series distribution with the Renyi parameter q.

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Published

2018-11-22

How to Cite

Костробій, П., Маркович, Б., Візнович, О., & Токарчук, М. (2018). Generalized diffusion equation in the fractional derivatives in Renyi statistics. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (23), 108–118. Retrieved from https://www.fmmit.lviv.ua/index.php/fmmit/article/view/58

Issue

No. 23 (2016): Physico-mathematical modeling and informational technologies, 2016, Issue 23

Section

Articles