Generalized Boundary Conditions for the Time-Fractional Advection Diffusion Equation

Entropy

Yuriy Povstenko¹  J. A. Tenreiro Machado¹ 

[1] Institute of Mathematics and Computer Science, Jan Długosz University in Częstochowa, Armii Krajowej 13/15, 42-200 Częstochowa, Poland; E-Mail

关键词: fractional calculus;    non-Fickian diffusion;    fractional advection diffusion equation;    complex systems;    nonperfect contact conditions;   

DOI  :  10.3390/e17064028

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland