Cauchy problem for nonlocal diffusion equations modelling Lévy flights

In the present paper, we study the time-space fractional diffusion equation involving the Caputo differential operator and the fractional Laplacian. This equation describes the Lévy flight with the Brownian motion component and the drift component. First, the asymptotic behavior of the fundamental s...

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Bibliographic Details
Main Author: Chung-Sik Sin
Format: Article
Language:English
Published: University of Szeged 2022-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9371