Cauchy problem for nonlocal diffusion equations modelling Lévy flights
نویسندگان
چکیده
In the present paper, we study time-space fractional diffusion equation involving Caputo differential operator and Laplacian. This describes Lévy flight with Brownian motion component drift component. First, asymptotic behavior of fundamental solution is considered. Then, use to obtain representation formula solutions Cauchy problem. last, L 2 -decay estimates for are proved by employing Fourier analysis technique.
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2022
ISSN: ['1417-3875']
DOI: https://doi.org/10.14232/ejqtde.2022.1.18