Mathematical Modeling of the Dynamics of a Nonequilibrium Diffusion Process on the Basis of Integro-Differentiation of Fractional Order

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)
ID: 605518459
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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 
856 4 0 |u https://doi.org/10.1007/s10559-015-9705-1  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
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