  In the paper under review, we analyze asymptotically almost periodic
solutions for a class of (semilinear) fractional relaxation inclusions with
Stepanov almost periodic coefficients. As auxiliary tools, we use subordination
principles, fixed point theorems and the well known results on the generation
of infinitely differentiable degenerate semigroups with removable singularites
at zero. Our results are well illustrated and seem to be not considered
elsewhere even for fractional relaxation equations with almost sectorial
operators.
