  Generalized summability results are obtained regarding formal solutions of
certain families of linear moment integro-differential equations with time
variable coefficients. The main result leans on the knowledge of the behavior
of the moment derivatives of the elements involved in the problem.
  A refinement of the main result is also provided giving rise to more accurate
results which remain valid in wide families of problems of high interest in
practice, such as fractional integro-differential equations.
