caa a22 4500 605518459 CHVBK 20210128100725.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10559-015-9705-1 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9705-1 Mathematical Modeling of the Dynamics of a Nonequilibrium Diffusion Process on the Basis of Integro-Differentiation of Fractional Order [Elektronische Daten] [V. Bulavatsky, A. Gladky] 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. Springer Science+Business Media New York, 2015 nonequilibrium diffusion process nationallicence saturated geoporous medium nationallicence fractional-order equation nationallicence Hilfer biordinal fractional derivative nationallicence boundary-value problem nationallicence numerical solution nationallicence analytical solution nationallicence Bulavatsky V. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine aut Gladky A. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/1(2015-01-01), 134-141 1060-0396 51:1<134 2015 51 10559 https://doi.org/10.1007/s10559-015-9705-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9705-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bulavatsky V. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine aut NATIONALLICENCE 700 1- Gladky A. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/1(2015-01-01), 134-141 1060-0396 51:1<134 2015 51 10559