Koopman Operators and Extended Dynamic Mode Decomposition for Economic Growth Models in Terms of Fractional Derivatives

John Leventides (), Evangelos Melas (), Costas Poulios () and Paraskevi Boufounou ()
Additional contact information
John Leventides: National and Kapodistrian University of Athens
Evangelos Melas: National and Kapodistrian University of Athens
Costas Poulios: National and Kapodistrian University of Athens
Paraskevi Boufounou: National and Kapodistrian University of Athens

A chapter in Essays on Financial Analytics, 2023, pp 37-44 from Springer

Abstract: Abstract We apply the Koopman operator theory and Extended Dynamic Mode Decomposition (EDMD) in a non-linear dynamical system. This system describes the capital accumulation, and it is similar to the Solow-Swan model and the Ramsey-Cass-Koopmans model. However, the usual derivative is replaced with a fractional derivative. This dynamical system is approximated by a finite-dimensional linear system which is defined in some augmented state space. However, because of the presence of the fractional derivative, one expects that the dimension of the linear system will be quite bigger.

Keywords: Koopman operator; Extended dynamic mode decomposition; Solow-Swan model; Ramsey-Cass-Koopmans model; Capital accumulation; Fractional calculus (search for similar items in EconPapers)
Date: 2023
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:lnopch:978-3-031-29050-3_3

Ordering information: This item can be ordered from
http://www.springer.com/9783031290503

DOI: 10.1007/978-3-031-29050-3_3

Access Statistics for this chapter

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