The Clifford analysis extends the theory of complex variable functions to high-dimensional spaces, which mainly studies the properties of functions defined on $R^n$ with values in Clifford algebra $\mathrm{Cl}_{0,n}$. More precisely, the quaternion algebra $H$ is isomorphic to the Clifford algebra $\mathrm{Cl}_{0,2}$. I will present the differential formulas and the uncertainty principles of the quaternion fractional Fourier transform, the Clifford-Fourier transform, and the fractional Clifford-Fourier transform.