Stability and Optimal Controls for Time-space Fractional Ginzburg–Landau Systems

Xiaoju Zhang (), Yao Lu () and Dong Liu ()
Additional contact information
Xiaoju Zhang: Henan Normal University, Henan Key Laboratory of Educational Artificial Intelligence and Personalized Learning
Yao Lu: Guangdong Polytechnic Normal University
Dong Liu: Henan Normal University, Henan Key Laboratory of Educational Artificial Intelligence and Personalized Learning

Journal of Optimization Theory and Applications, 2023, vol. 199, issue 3, No 10, 1106-1129

Abstract: Abstract In this paper, we research initial boundary value problems for time-space fractional Ginzburg–Landau equations with Caputo time fractional derivatives and fractional Laplacian operators. As far as we know, there have been few studies concerning stability and optimal control for the corresponding system. First, by Galërkin method, we establish global existence and a few decay estimates of weak solutions. What’s more, we study the dependence of weak solutions on these given data, then we get stability of the system. Further, we obtain an optimal control of the time-space fractional Ginzburg–Landau system.

Keywords: Stability; Optimal control; Ginzburg–Landau equation; Time-space fractional derivatives; Global existence; 49J20; 35R11; 35A01 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-023-02315-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:199:y:2023:i:3:d:10.1007_s10957-023-02315-z

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-023-02315-z

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().