Abstract: In 2013, R.L. Frank and E. Lenzmann study the following problem: \begin{equation}(-\Delta)^s u + u = u^{p-1}\quad\text{in}\quad\mathbb R^N\tag{1}\end{equation} where $s\in(0,1)$, $N=1$, $p\in(2,2^{s^*})$, and $2^{s^*}$ is the critical fractional Sobolev exponent. They proved that the ground state is unique (up to translations). Then in 2016, they, together with L. Silvestre showed similar uniqueness results for high dimensions ($N\geq 2$), in which they proposed a challenging open problem to extend their results about non-degeneracy and uniqueness of ground states to nonlinearities $f(u)$ beyond the pure-power case. In this talk, we use a continuation argument to prove the uniqueness of ground states for Fractional Schrödinger Equations with a large class of convex nonlinearities, under the assumption that the positive solution $u$ of (1) is non-degenerate.