Abstract and Applied Analysis
Volume 2009 (2009), Article ID 858242, 27 pages
doi:10.1155/2009/858242
Research Article

(a,k)-Regularized C-Resolvent Families: Regularity and Local Properties

Marko Kostić

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

Received 29 April 2009; Accepted 25 June 2009

Academic Editor: Viorel Barbu

Copyright © 2009 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 introduce the class of (local) (a,k)-regularized C-resolvent families and discuss its basic structural properties. In particular, our analysis covers subjects like regularity, perturbations, duality, spectral properties and subordination principles. We apply our results in the study of the backwards fractional diffusion-wave equation and provide several illustrative examples of differentiable (a,k)-regularized C-resolvent families.