  We obtain the explicit expressions for the state probabilities of various
state dependent fractional point processes recently introduced and studied by
Garra et al. (2015). The inversion of the Laplace transforms of the state
probabilities of such processes is rather cumbersome and involved. We employ
the Adomian decomposition method to solve the difference differential equations
governing the state probabilities of these state dependent processes. The
distributions of some convolutions of the Mittag-Leffler random variables are
derived as special cases of the obtained results.
