On Riemann-Liouville and Caputo Derivatives

Changpin Li, Deliang Qian and YangQuan Chen

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-15

Abstract:

Recently, many models are formulated in terms of fractional derivatives, such as in control processing, viscoelasticity, signal processing, and anomalous diffusion. In the present paper, we further study the important properties of the Riemann-Liouville (RL) derivative, one of mostly used fractional derivatives. Some important properties of the Caputo derivative which have not been discussed elsewhere are simultaneously mentioned. The partial fractional derivatives are also introduced. These discussions are beneficial in understanding fractional calculus and modeling fractional equations in science and engineering.

Date: 2011
References: Add references at CitEc
Citations: View citations in EconPapers (18)

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2011/562494.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2011/562494.xml (text/xml)

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:hin:jnddns:562494

DOI: 10.1155/2011/562494

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().