  We prove local smoothing, local energy decay and weighted Strichartz
inequalities for fractional Schr\"odinger equations with a Aharonov-Bohm
magnetic field in 2D. Explicit representations of the flows in terms of
spherical expansions of the Hamiltonians are involved in the study. An
improvement of the free estimate is proved, when the total flux of the magnetic
field through the unit sphere is not an integer.
