  In the present paper we study inverse problems related to determining the
time-dependent coefficient and unknown source function of fractional heat
equations. Our approach shows that having just one set of data at an
observation point ensures the existence of a weak solution for the inverse
problem. Furthermore, if there is an additional datum at the observation point,
it leads to a specific formula for the time-dependent source coefficient.
Moreover, we investigate inverse problems involving non-local data and
recovering the space-dependent source function of the fractional heat equation.
