Recurrence of the random process governed with the fractional Laplacian and the Caputo time derivative

We are addressing a parabolic equation with fractional derivatives in time and space that governs the scaling limit of continuous-time random walks with anomalous diffusion. For these equations, the fundamental solution represents the probability density of finding a particle released at the origin...

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Bibliographic Details
Main Authors: Elisa Affili, Jukka T. Kemppainen
Format: Article
Language:English
Published: University of Bologna 2023-07-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/17264