The Hautus-Type Inequality for Abstract Fractional Cauchy Problems and Its Observability

In this paper, we investigate the observability of the fractional resolvent family, and we prove two main results: the first result shows a generalization of the Hautus-type test for observable exponentially stable semigroups to the fractional resolvent family and the second result shows the equival...

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Bibliographic Details
Main Author: Li Chen-Yu
Format: Article
Language:English
Published: Hindawi Limited 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/6179980