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approximation theory 1dimension-independent analysis 1fractional pdes 1neural network approximation 1spectral barron spaces 1

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math.AP2026

Neural Network Approximation of Solutions to Fractional Parabolic Partial Differential Equations

Jae-Hwan Choi, Hyojae Lim, Jinsol Seo +2

The paper develops a dimension‑efficient neural network approximation theory for solutions of fractional parabolic PDEs, introducing anisotropic spectral Barron spaces and proving…