I'm not able to find relevant references on the internet. Is there such theorem or which part fails compared to the usual divergence theorem where we can apply the Laplacian operator $\Delta$?
Update: For those who downvoted, do you know the answer or not?
To be more specific: for the usual divergence theorem, $$\int_{\Omega} u\Delta vdx=\int_{\partial \Omega} u \frac{\partial v}{\partial \nu}d\sigma - \int_{\Omega} \nabla u\nabla vdx$$ I was wondering whether it's possible to generalize to fractional laplacian operator.