Mathematical Modeling of the Dynamics of a Nonequilibrium Diffusion Process on the Basis of Integro-Differentiation of Fractional Order
Gespeichert in:
Verfasser / Beitragende:
[V. Bulavatsky, A. Gladky]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/1(2015-01-01), 134-141
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10559-015-9705-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10559-015-9705-1 | ||
| 245 | 0 | 0 | |a Mathematical Modeling of the Dynamics of a Nonequilibrium Diffusion Process on the Basis of Integro-Differentiation of Fractional Order |h [Elektronische Daten] |c [V. Bulavatsky, A. Gladky] |
| 520 | 3 | |a This article considers the problem of mathematical modeling of the dynamics of a nonequilibrium diffusion process in geological media saturated with salt solutions. Based on the Hilfer's generalized fractional derivative, a mathematical model is proposed to describe the fractional differential dynamics of the process under study, and a numerical-analytical solution of the boundary-value problem corresponding to this model is obtained. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a nonequilibrium diffusion process |2 nationallicence | |
| 690 | 7 | |a saturated geoporous medium |2 nationallicence | |
| 690 | 7 | |a fractional-order equation |2 nationallicence | |
| 690 | 7 | |a Hilfer biordinal fractional derivative |2 nationallicence | |
| 690 | 7 | |a boundary-value problem |2 nationallicence | |
| 690 | 7 | |a numerical solution |2 nationallicence | |
| 690 | 7 | |a analytical solution |2 nationallicence | |
| 700 | 1 | |a Bulavatsky |D V. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine |4 aut | |
| 700 | 1 | |a Gladky |D A. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine |4 aut | |
| 773 | 0 | |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/1(2015-01-01), 134-141 |x 1060-0396 |q 51:1<134 |1 2015 |2 51 |o 10559 | |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10559-015-9705-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bulavatsky |D V. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gladky |D A. |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/1(2015-01-01), 134-141 |x 1060-0396 |q 51:1<134 |1 2015 |2 51 |o 10559 | ||