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Proceedings Paper

Representation of solutions for fractional kinetic equations with deviation time variable
Author(s): Ya. M. Drin; V. A. Ushenko; I. I. Drin; S. S. Drin
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Paper Abstract

We present a formula for classical solutions for time- and space-fractional kinetic equation (also known as fractional diffusion equation) and deviation time variable is given in terms of the Fox’s H-function, using the step by step method. This equations describe fractal properties of real data arising in applied fields such as turbulence, hydrology, ecology, geographic, air pollution, economics and finance.

Paper Details

Date Published: 6 February 2020
PDF: 9 pages
Proc. SPIE 11369, Fourteenth International Conference on Correlation Optics, 113690Q (6 February 2020); doi: 10.1117/12.2554987
Show Author Affiliations
Ya. M. Drin, Chernivtsi National Univ. (Ukraine)
V. A. Ushenko, Chernivtsi National Univ. (Ukraine)
I. I. Drin, Kyiv National Univ. of Trade and Economics (Ukraine)
S. S. Drin, National Univ. of “Kyiv-Mohyla Academy” (Ukraine)

Published in SPIE Proceedings Vol. 11369:
Fourteenth International Conference on Correlation Optics
Oleg V. Angelsky, Editor(s)

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