Subdiffusive fractional limit of a jump-renewal equation
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.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Differential Equations Analysis
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 13 January 2026
- Document type
- Preprint