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- Yuriy Povstenko
- Entropy
- 2013

The problem of fractional heat conduction in a composite medium consisting of a spherical inclusion) 0 (R r and a matrix) ( r R being in perfect thermal contact at R r is considered. The heat conduction in each region is described by the time-fractional heat conduction equation with the Caputo derivative of fractional order 2 0 and , 2 0 … (More)

- Yuriy Povstenko
- Entropy
- 2015

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… (More)

- Yuri Luchko, Francesco Mainardi, Yuriy Povstenko
- Computers & Mathematics with Applications
- 2013

- Yuriy Povstenko
- Computers & Mathematics with Applications
- 2012

- Yuriy Povstenko
- Computers & Mathematics with Applications
- 2012

- Yuriy Povstenko
- Applied Mathematics and Computation
- 2015

- Yuriy Povstenko
- ICFDA'14 International Conference on Fractional…
- 2014

Different types of boundary conditions for the time-fractional heat conduction equation in a bounded domain are examined. A composed solid consisting of three domains is considered. Assuming that the thickness of the intermediate domain is small with respect to two other sizes and is constant, a three-dimensional heat conduction problem in the intermediate… (More)

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