Perturbation theory for abstract Volterra equations. (English) Zbl 1273.47073
Summary: We consider additive perturbation theorems for subgenerators of \((a, k)\)-regularized \(C\)-resolvent families. A major part of our research is devoted to the study of perturbation properties of abstract time-fractional equations, primarily from their importance in modelling of various physical phenomena. We illustrate the results with several examples.
MSC:
| 47D60 | \(C\)-semigroups, regularized semigroups |
| 45N05 | Abstract integral equations, integral equations in abstract spaces |
| 47A55 | Perturbation theory of linear operators |
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