  In this paper, we theoretically study the Floquet engineering of two
dimensional photonic waveguide arrays in three types of lattices: honeycomb
lattice with Kekule distortion, breathing square lattice and breathing Kagome
lattice. The Kekule distortion factor or the breathing factor in the
corresponding lattice is periodically changed along the axial direction of the
photonic waveguide with frequency $\omega$. Within certain ranges of $\omega$,
the Floquet corner states in the Floquet band gap of quasi-energy spectrum are
found, which are localized at the corner of the finite two-dimensional arrays.
Due to particle-hole symmetric in the model of honeycomb and square lattice,
the quasi-energy level of the Floquet $\pi$ corner states is $\pm\omega/2$. On
the other hand, Kagome lattice does not have particle-hole symmetric, so that
the quasi-energy level of the Floquet $\pm2\pi/3$ corner states is near to
$\pm1\omega/3$. The corner states are either protected by crystalline symmetry
or reflection symmetry. The finding of Floquet fractional-$\pi$ corner states
could provide more options for engineering of on-chip photonic devices.
