Abstract
A neural network method for solving fractional diffusion equations is presented in this letter. An adaptive gradient descent method is proposed to minimize energy functions. Due to the memory effects of the fractional calculus, the gradient of energy function becomes much more complicated, and we suggest a simplified method. Numerical examples with one-layer and two-layer neurons show the effectiveness of the method.
© 2022 Massachusetts Institute of Technology
2022
Massachusetts Institute of Technology
You do not currently have access to this content.