On Multiplicative Perturbations of Abstract Degenerate Fractional Differential Equations

We consider multiplicative perturbations of the subgenerators of degenerate analytic resolving operator families. Sufficient conditions are obtained under which a product of set-valued linear operators is the subgenerator of an analytic -regularized -resolving operator family. Some applications of this result to initial–boundary value problems for partial differential equations with the Caputo time derivative are given.