The stochastic foundation of the nanoparticle kinetic description by differential equations with fractional derivatives
Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 6, pp. 47-63
Cet article a éte moissonné depuis la source Math-Net.Ru
The paper has been aimed at reviewing the basic concepts of fractional analysis, and typical general kinetic cases of localized open systems giving rise to applying the equations with fractional derivatives.
Keywords:
open systems, transport processes and relaxation, subordinated processes and Levy processes, stochastic differential equations.
@article{NANO_2012_3_6_a4,
author = {A. M. Basharov},
title = {The stochastic foundation of the nanoparticle kinetic description by differential equations with fractional derivatives},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {47--63},
year = {2012},
volume = {3},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/NANO_2012_3_6_a4/}
}
TY - JOUR AU - A. M. Basharov TI - The stochastic foundation of the nanoparticle kinetic description by differential equations with fractional derivatives JO - Nanosistemy: fizika, himiâ, matematika PY - 2012 SP - 47 EP - 63 VL - 3 IS - 6 UR - http://geodesic.mathdoc.fr/item/NANO_2012_3_6_a4/ LA - ru ID - NANO_2012_3_6_a4 ER -
%0 Journal Article %A A. M. Basharov %T The stochastic foundation of the nanoparticle kinetic description by differential equations with fractional derivatives %J Nanosistemy: fizika, himiâ, matematika %D 2012 %P 47-63 %V 3 %N 6 %U http://geodesic.mathdoc.fr/item/NANO_2012_3_6_a4/ %G ru %F NANO_2012_3_6_a4
A. M. Basharov. The stochastic foundation of the nanoparticle kinetic description by differential equations with fractional derivatives. Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 6, pp. 47-63. http://geodesic.mathdoc.fr/item/NANO_2012_3_6_a4/