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• W2969811511 abstract "In this work, we investigate a variational formulation for a time-fractional Fokker-Planck equation which arises in the study of complex physical systems involving anomalously slow diffusion. The model involves a fractional-order Caputo derivative in time, and thus inherently nonlocal. The study follows the Wasserstein gradient flow approach pioneered by [26]. We propose a JKO type scheme for discretizing the model, using the L1 scheme for the Caputo fractional derivative in time, and establish the convergence of the scheme as the time step size tends to zero. Illustrative numerical results in one- and two-dimensional problems are also presented to show the approach." @default.
• W2969811511 created "2019-08-29" @default.
• W2969811511 creator A5039605463 @default.
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• W2969811511 date "2019-08-23" @default.
• W2969811511 modified "2023-09-25" @default.
• W2969811511 title "Wasserstein Gradient Flow Formulation of the Time-Fractional Fokker-Planck Equation" @default.
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• W2969811511 doi "https://doi.org/10.48550/arxiv.1908.09055" @default.
• W2969811511 hasPublicationYear "2019" @default.
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