Propagation speed of the maximum of the fundamental solution to the fractional diffusion–wave equation

Propagation speed of the maximum of the fundamental solution to the fractional diffusion–wave equation

In this paper, the one-dimensional time-fractional diffusion–wave equation with the fractional derivative of order α,1

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Veröffentlicht in:Computers & mathematics with applications (1987) 2013-09, Vol.66 (5), p.774-784
Hauptverfasser: Luchko, Yuri, Mainardi, Francesco, Povstenko, Yuriy
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problem
Derivatives
Fundamental solution
Mainardi function
Mittag-Leffler function
Time-fractional diffusion–wave equation
Wright function
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Zusammenfassung:In this paper, the one-dimensional time-fractional diffusion–wave equation with the fractional derivative of order α,1
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2013.01.005