Global ML Stability of the Delayed Fractional-Order Coupled Reaction-Diffusion System on Networks without Strong Connectedness

Yonggui Kao, Changhong Wang, Hongwei Xia and Yue Cao
Additional contact information
Yonggui Kao: Harbin Institute of Technology (Weihai), Department of Mathematics
Changhong Wang: Harbin Institute of Technology, School of Astronautics
Hongwei Xia: Harbin Institute of Technology, School of Astronautics
Yue Cao: Harbin Institute of Technology (Weihai), Department of Mathematics

Chapter Chapter 6 in Analysis and Control for Fractional-order Systems, 2024, pp 97-120 from Springer

Abstract: Abstract This chapter primarily focuses on examining the existence of solutions and the global Mittag-Leffler stability in delayed fractional-order coupled reaction-diffusion system, particularly when strong connectedness is absent. We employ Leary-Schauder’s fixed point theorem and the Lyapunov method to establish criteria for both solution existence and global Mittag-Leffler stability. To validate the theoretical framework, we provide a numerical example demonstrating its applicability.

Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:sprchp:978-981-99-6054-5_6

Ordering information: This item can be ordered from
http://www.springer.com/9789819960545

DOI: 10.1007/978-981-99-6054-5_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().