Аннотация:A distinctive aspect of our problem is that with respect to the time-variable we have two Caputo derivatives and in a space variable our equation has a singularity at zero, hence it requires different regularity conditions from the given data. First, we formulate direct and inverse source problems and present preliminary information on Bessel equation, Fourier-Bessel series, as well as on general solutions to the corresponding two-term fractional differential equation with Caputo derivative. At the end we formulate our result as two theorems.