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Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions

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  • Y. Z. Povstenko

Abstract

The time-fractional heat conduction equation with the Caputo derivative of the order 0 < ð ›¼ < 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.

Suggested Citation

  • Y. Z. Povstenko, 2012. "Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions," International Journal of Differential Equations, Hindawi, vol. 2012, pages 1-13, August.
    • Handle: RePEc:hin:jnijde:154085
    DOI: 10.1155/2012/154085
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    Cited by:

    1. Slawomir Blasiak, 2021. "Heat Transfer Analysis for Non-Contacting Mechanical Face Seals Using the Variable-Order Derivative Approach," Energies, MDPI, vol. 14(17), pages 1-13, September.

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