Work

Subdiffusive fractional limit of a jump-renewal equation

Year: 2026

Type: article

Abstract: In this paper, we considered an age-structured jump model that arises as a description of continuous-time random walks with infinite mean waiting time between jumps. We proved that, under a suitable rescaling, this equation converges in the long-time large-scale limit to a time-fractional subdiffusion equation.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2026160

Authors: Hugues Berry, Pierre Gabriel, Thomas Lepoutre, Nathan Quiblier

Institutions: Institut national de recherche en sciences et technologies du numérique, Hospices Civils de Lyon, Université de Tours, Université d'Orléans, Centre National de la Recherche Scientifique, Institut Denis Poisson, Lyon 1 Université, Institut Camille Jordan, Université Jean Monnet, Institut National des Sciences Appliquées de Lyon, Université Jean Monnet, Inserm, Université Paris Cité, Institut des Maladies Génétiques Imagine

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Approximate Bayesian computation-driven multimodal microscopy to explore the nuclear mobility of transcription factors

OpenAlex ID: W7124159063

FWCI:

Cites: 24

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Related to: 10