(a, k)-Regularized C-Resolvent Families: Regularity and Local Properties. (20th July 2009)

• Record Type: Journal Article
• Authors: Kostić, Marko
• Other Names: Barbu Viorel Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2009(2009)
• Publication Date: 2009-07-20
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2009/858242
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We introduce the class of (local)( a, k ) -regularizedC -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 ) -regularizedC -resolvent families.