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Peer-reviewedCC BY-NC-ND 4.0Discrete and Continuous Dynamical Systems - Series S

Subdiffusive fractional limit of a jump-renewal equation

  • Hugues Berry
  • Pierre Gabriel
  • Thomas Lepoutre
  • Nathan Quiblier
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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.

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Cite

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BibTeX
@article{berry2026subdiffusive,
  title = {{Subdiffusive fractional limit of a jump-renewal equation}},
  author = {Hugues Berry and Pierre Gabriel and Thomas Lepoutre and Nathan Quiblier},
  journal = {Discrete and Continuous Dynamical Systems - Series S},
  year = {2026},
  month = sep,
  doi = {10.3934/dcdss.2026160},
  eprint = {2601.08650},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05456904v3},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - JOUR
TI  - Subdiffusive fractional limit of a jump-renewal equation
AU  - Hugues Berry
AU  - Pierre Gabriel
AU  - Thomas Lepoutre
AU  - Nathan Quiblier
PY  - 2026
DA  - 2026/09/24
JO  - Discrete and Continuous Dynamical Systems - Series S
DO  - 10.3934/dcdss.2026160
UR  - https://hal.science/hal-05456904v3
AB  - 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.
SN  - 1937-1632
SN  - 1937-1179
ER  -