Before revision:  Our recent work shows that on the continuous level, the time-fractional energy dissipation law and the weighted energy dissipation law can be achieved. Inspired by them, we study in this article the energy dissipation of some numerical schemes for time-fractional phase-field models , including the convex-splitting scheme, the stabilization scheme, and the scalar auxiliary variable scheme.
After revision:  Our recent work shows that on the continuous level, the time-fractional energy dissipation law and the corresponding theory for time-fractional phase-field models , including the convex-splitting scheme, the stabilization scheme, and the scalar auxiliary variable scheme.