Representation and stability of distributed order resolvent families

We consider the resolvent family of the following abstract Cauchy problem (1.1) with distributed order Caputo derivative, where A is a closed operator with dense domain and satisfies some further conditions. We first prove some stability results of distributed order resolvent family through the subo...

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Bibliographic Details
Published in:AIMS Mathematics
Main Author: Chen-Yu Li
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Subjects:
integral representation
stability
distributed order calculus
functional calculus
resolvent families
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022650?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022650?viewType=HTML

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