Fractional Equations for the Scaling Limits of Lévy Walks with Position-Dependent Jump Distributions

Fractional Equations for the Scaling Limits of Lévy Walks with Position-Dependent Jump Distributions

Lévy walks represent important modeling tools for a variety of real-life processes. Their natural scaling limits are known to be described by the so-called material fractional derivatives. So far, these scaling limits have been derived for spatially homogeneous walks, where Fourier and Laplace trans...

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Bibliographic Details
Main Author: Vassili N. Kolokoltsov
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
Subjects:
Lévy walks
fractional equations of variable order
Caputo–Dzherbashian and Riemann–Liouville derivatives
material fractional derivatives
scaling limit
continuous time random walks (CTRW)
Online Access:https://www.mdpi.com/2227-7390/11/11/2566

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https://www.mdpi.com/2227-7390/11/11/2566

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