Title :
A fractional model of cosmic ray reacceleration in the Galaxy
Author :
Uchaikin, Vladimir V. ; Sibatov, Renat T.
Author_Institution :
Dept. of Theor. Phys., Ulyanovsk State Univ., Ulyanovsk, Russia
Abstract :
The problem of cosmic rays reacceleration (secondary acceleration) in the interstellar galactic medium is considered with the use of fractional differential equations. Involving the fractional operator is justified by by taking into account non-uniform (fractal-type) time-distribution of the acceleration events possible connected with diffusion type of spatial motion.
Keywords :
Galaxy; cosmic ray propagation; differential equations; diffusion; fractals; galactic cosmic rays; interstellar matter; Galaxy; cosmic ray reacceleration; diffusion type; fractal-type time-distribution; fractional differential equations; fractional model; fractional operator; interstellar galactic medium; nonuniform time-distribution; secondary acceleration; spatial motion; Acceleration; Cosmic rays; Electric shock; Equations; Fractals; Mathematical model; Signal to noise ratio;
Conference_Titel :
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location :
Catania
DOI :
10.1109/ICFDA.2014.6967458
