Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia
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.
We introduce the class of (local) -regularized -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
-regularized -resolvent families.