Time-Fractional Heat Conduction in a Half-Line Domain due to Boundary Value of Temperature Varying Harmonically in Time
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Povstenko, Y. Z.. 2016. Time-Fractional Heat Conduction in a Half-Line Domain due to Boundary Value of Temperature Varying Harmonically in Time. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1112742
Modern Language Association (MLA)
Povstenko, Y. Z.. Time-Fractional Heat Conduction in a Half-Line Domain due to Boundary Value of Temperature Varying Harmonically in Time. Mathematical Problems in Engineering No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1112742
American Medical Association (AMA)
Povstenko, Y. Z.. Time-Fractional Heat Conduction in a Half-Line Domain due to Boundary Value of Temperature Varying Harmonically in Time. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1112742
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112742
