期刊
ENTROPY
卷 17, 期 6, 页码 4028-4039出版社
MDPI
DOI: 10.3390/e17064028
关键词
fractional calculus; non-Fickian diffusion; fractional advection diffusion equation; complex systems; nonperfect contact conditions
The different kinds of boundary conditions for standard and fractional diffusion and advection diffusion equations are analyzed. Near the interface between two phases there arises a transition region which state differs from the state of contacting media owing to the different material particle interaction conditions. Particular emphasis has been placed on the conditions of nonperfect diffusive contact for the time-fractional advection diffusion equation. When the reduced characteristics of the interfacial region are equal to zero, the conditions of perfect contact are obtained as a particular case.
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