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In this article, we propose the fractional weak adversarial networks (f-WANs)for the stationary fractional advection dispersion equations (FADE) based ontheir weak formulas. This enables us to handle less regular solutions for thefractional equations. To handle the non-local property of the fractionalderivatives, convolutional layers and special loss functions are introduced inthis neural network. Numerical experiments for both smooth and less regularsolutions show the validity of f-WANs.

Fractional weak adversarial networks for the stationary fractional advection dispersion equations