Subdiffusive fractional limit of a jump-renewal equation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866912820327612416 |
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| author | Berry, Hugues Gabriel, Pierre Lepoutre, Thomas Quiblier, Nathan |
| author_facet | Berry, Hugues Gabriel, Pierre Lepoutre, Thomas Quiblier, Nathan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08650 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Subdiffusive fractional limit of a jump-renewal equation Berry, Hugues Gabriel, Pierre Lepoutre, Thomas Quiblier, Nathan Analysis of PDEs Probability 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. |
| title | Subdiffusive fractional limit of a jump-renewal equation |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2601.08650 |