Existence of Solutions for time-dependent fractional Kohn-Sham Equations

Sébastien Breteaux, Michele Fantechi, Jérémy Faupin

We consider time-dependent Kohn-Sham equations in dimension $3$ with a fractional dispersion relation $(1-\Delta {)}^s$, $s\in (0,\frac{3}{2})$, and a class of interaction terms including, in p…