Subdiffusive fractional limit of a jump-renewal equation
Analysis of PDEs
2026-01-14 v1 Probability
Abstract
In this paper, we consider an age-structured jump model that arises as a description of continuous time random walks with infinite mean waiting time between jumps. We prove that under a suitable rescaling, this equation converges in the long time large scale limit to a time fractional subdiffusion equation.
Keywords
Cite
@article{arxiv.2601.08650,
title = {Subdiffusive fractional limit of a jump-renewal equation},
author = {Hugues Berry and Pierre Gabriel and Thomas Lepoutre and Nathan Quiblier},
journal= {arXiv preprint arXiv:2601.08650},
year = {2026}
}