Time-Fractional Heat Conduction in a Half-Line Domain due to Boundary Value of Temperature Varying Harmonically in Time. (17th November 2016)

• Record Type: Journal Article
• Authors: Povstenko, Yuriy
• Other Names: de Monte Filippo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-11-17
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/8605056
• Languages: English
• ISSNs: 1024-123X

Abstract

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.