Fractional telegraph equation under moving time-harmonic impact
•The time-fractional telegraph equation with moving time-harmonic source is considered on a real line.•Two characteristic versions of this equation: the “wave-type” with the second and Caputo fractional time-derivatives as well as the “heat-type” with the first and Caputo fractional time-derivatives...
Gespeichert in:
Veröffentlicht in: | International journal of heat and mass transfer 2022-01, Vol.182, p.121958, Article 121958 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | •The time-fractional telegraph equation with moving time-harmonic source is considered on a real line.•Two characteristic versions of this equation: the “wave-type” with the second and Caputo fractional time-derivatives as well as the “heat-type” with the first and Caputo fractional time-derivatives are investigated.•The solution to the “wave-type” equation contains wave fronts and describes the Doppler effect contrary to the solution for the “heat-type” equation.•For the time-fractional telegraph equation it is impossible to consider the quasi-steady-state corresponding to the solution being a product of a function of the spatial coordinate and the time-harmonic term.•The derived solutions can be successfully used when the source term can be expanded into a Fourier series.
The time-fractional telegraph equation with moving time-harmonic source is considered on a real line. We investigate two characteristic versions of this equation: the “wave-type” with the second and Caputo fractional time-derivatives as well as the “heat-type” with the first and Caputo fractional time-derivatives. In both cases the order of fractional derivative 1 |
---|---|
ISSN: | 0017-9310 1879-2189 |
DOI: | 10.1016/j.ijheatmasstransfer.2021.121958 |