Fractional-Order Systems

Chongyang Liu (), Song Wang () and Zhaohua Gong
Additional contact information
Chongyang Liu: Shandong Technology and Business University, School of Mathematics and Information Science
Song Wang: Curtin University, School of Electrical Engineering, Computing, and Mathematical Sciences
Zhaohua Gong: Shandong Technology and Business University, School of Mathematics and Information Science

Chapter 3 in Nonlinear Fractional Optimal Control, 2026, pp 23-54 from Springer

Abstract: Abstract In this chapter, we review some basic concepts and theorems of fractional-order systems including ordinary differential equations with the Riemann-Liouville, Caputo, Atangana-Baleanu and conformable fractional derivatives, and delay differential equations with Caputo fractional derivatives. Furthermore, we develop two classes of numerical methods for solving fractional ordinary differential equations. The convergence rates of these numerical schemes are also analyzed. Finally, numerical examples are solved to verify the theoretical results of the proposed numerical methods.

Date: 2026
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:spochp:978-981-92-0274-4_3

Ordering information: This item can be ordered from
http://www.springer.com/9789819202744

DOI: 10.1007/978-981-92-0274-4_3

Access Statistics for this chapter

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