Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions
The time-fractional heat conduction equation with the Caputo derivative of the order 0<𝛼<2 is considered in a half-space in axisymmetric case under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of the values of temperature and the values of...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2012/154085 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567519615909888 |
|---|---|
| author | Y. Z. Povstenko |
| author_facet | Y. Z. Povstenko |
| author_sort | Y. Z. Povstenko |
| collection | DOAJ |
| description | The time-fractional heat conduction equation with the Caputo derivative of the order
0<𝛼<2 is considered in a half-space in axisymmetric case under two types of Robin
boundary condition: the mathematical one with the prescribed linear combination of
the values of temperature and the values of its normal derivative and the physical
condition with the prescribed linear combination of the values of temperature and the
values of the heat flux at the boundary. |
| format | Article |
| id | doaj-art-6dad31633f9a43d49696077e91b36c3e |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-6dad31633f9a43d49696077e91b36c3e2025-02-03T01:01:17ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/154085154085Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary ConditionsY. Z. Povstenko0Institute of Mathematics and Computer Science, Jan Dlugosz University, 42200 Czestochowa, PolandThe time-fractional heat conduction equation with the Caputo derivative of the order 0<𝛼<2 is considered in a half-space in axisymmetric case under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of the values of temperature and the values of its normal derivative and the physical condition with the prescribed linear combination of the values of temperature and the values of the heat flux at the boundary.http://dx.doi.org/10.1155/2012/154085 |
| spellingShingle | Y. Z. Povstenko Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions International Journal of Differential Equations |
| title | Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions |
| title_full | Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions |
| title_fullStr | Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions |
| title_full_unstemmed | Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions |
| title_short | Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions |
| title_sort | axisymmetric solutions to time fractional heat conduction equation in a half space under robin boundary conditions |
| url | http://dx.doi.org/10.1155/2012/154085 |
| work_keys_str_mv | AT yzpovstenko axisymmetricsolutionstotimefractionalheatconductionequationinahalfspaceunderrobinboundaryconditions |