Definitions and Numerical Evaluations of Fractional Calculus

Dingyü Xue () and Lu Bai ()
Additional contact information
Dingyü Xue: Northeastern University
Lu Bai: Shenyang University, School of Information Engineering

Chapter 3 in Fractional Calculus, 2024, pp 57-99 from Springer

Abstract: Abstract As previously noted, fractional calculus dates back to the days when Newton and Leibniz first invented traditional calculus. In the absence of a unified and widely accepted definitions, fractional calculus did not progress well in its early development. In this chapter, various definitions of fractional derivatives and integrals are presented. The numerical solutions of derivatives and integrals under Grünwald–Letnikov, Riemann–Liouville and Caputo fractional-order definitions are presented. The properties and geometric interpretations are explored.

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:978-981-99-2070-9_3

Ordering information: This item can be ordered from
http://www.springer.com/9789819920709

DOI: 10.1007/978-981-99-2070-9_3

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 ().