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Time-Fractional Heat Conduction in a Half-Line Domain due to Boundary Value of Temperature Varying Harmonically in Time

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  • Yuriy Povstenko

Abstract

The Dirichlet problem for the time-fractional heat conduction equation in a half-line domain is studied with the boundary value of temperature varying harmonically in time. The Caputo fractional derivative is employed. The Laplace transform with respect to time and the sin-Fourier transform with respect to the spatial coordinate are used. Different formulations of the considered problem for the classical heat conduction equation and for the wave equation describing ballistic heat conduction are discussed.

Suggested Citation

  • Yuriy Povstenko, 2016. "Time-Fractional Heat Conduction in a Half-Line Domain due to Boundary Value of Temperature Varying Harmonically in Time," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-7, November.
    • Handle: RePEc:hin:jnlmpe:8605056
    DOI: 10.1155/2016/8605056
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