Fractional derivative in continuous-time Markov processes and applications to epidemics in networks

Continuous-time Markov processes are governed by the Chapman-Kolmogorov differential equation. We show that replacing the standard time derivative of the governing equation with a Caputo fractional derivative of order 0<α<1, leads to a fractional differential equation whose solution can descri...

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Bibliographic Details
Main Authors: Matteo D'Alessandro, Piet Van Mieghem
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.013017