Title :
On representation of dynamic processes with a memory by operators of fractional differentiation
Author :
Lezhnev, Evgeny V. ; Seleznev, Vadim A. ; Yuzzhalin, Dmitry L.
Author_Institution :
Dept. of Appl. Math. & Comput. Sci., NSTU, Novosibirsk, Russia
fDate :
26 June-3 July 2004
Abstract :
The paper contains presentation of dynamic processes description method by means of Riemann-Liouville operators of fractional differentiation. Averaging parameters for dynamic processes realizations are defined. Master-equation for averaging along trajectory based on recurrence relations and containing fractional differentiation and integration is concluded. The limiting master-equation contains both classical diffusion and wave process.
Keywords :
differentiation; integration; master equation; mathematical operators; Riemann-Liouville operators; dynamic processes description method; fractional differentiation; fractional integration; master-equation; Computer science; Finite difference methods; Mathematics; Probability; Reactive power; Trajectory;
Conference_Titel :
Science and Technology, 2004. KORUS 2004. Proceedings. The 8th Russian-Korean International Symposium on
Print_ISBN :
0-7803-8383-4
DOI :
10.1109/KORUS.2004.1555575
