Abstract and Applied Analysis
Volume 2013 (2013), Article ID 307684, 26 pages
http://dx.doi.org/10.1155/2013/307684
Research Article

Perturbation Theory for Abstract Volterra Equations

Marko Kostić

Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21125 Novi Sad, Serbia

Received 6 August 2012; Accepted 14 November 2012

Academic Editor: Irena Lasiecka

Copyright © 2013 Marko Kostić. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 modeling of various physical phenomena. We illustrate the results with several examples.