(a,k)-Regularized C-Resolvent Families: Regularity and Local Properties
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 backwa...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/858242 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |