Duality theory of fractional resolvents and applications to backward fractional control systems-Reference-Cited by-同舟云学术

Duality theory of fractional resolvents and applications to backward fractional control systems

Published:2021-04-01 Issue:2 Volume:24 Page:541-558
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Zhu Shouguo¹²,Li Gang³

Affiliation:

1. Wuxi Institute of Technology , Wuxi , Jiangsu 214121 , P.R. China

2. School of Mathematics, Taizhou College of Nanjing Normal University , Taizhou , Jiangsu 225300 , P.R. China

3. School of Mathematical Sciences, Yangzhou University Yangzhou , Jiangsu 225002 , Wuxi , P.R. China

Abstract

Abstract We study the duality theory for fractional resolvents, extending and improving some corresponding theorems on semigroups. As applications, we develop the variational technique to analyze the finite-approximate controllability of a backward fractional control system with a right-sided Riemann-Liouville fractional derivative. Moreover, validity of our theoretical findings is given by a fractional diffusion model.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2021-0024/pdf

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