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Subdiffusive fractional limit of a jump-renewal equation
Hugues Berry, Pierre Gabriel, Thomas Lepoutre, Nathan Quiblier · 2026-01-13 · via math updates on arXiv.org

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.