On Riemann-Liouville and Caputo Derivatives
Joint Authors
Li, Changpin
Qian, Deliang
Chen, YangQuan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Changpin& Qian, Deliang& Chen, YangQuan. 2011. On Riemann-Liouville and Caputo Derivatives. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-480959
Modern Language Association (MLA)
Li, Changpin…[et al.]. On Riemann-Liouville and Caputo Derivatives. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-480959
American Medical Association (AMA)
Li, Changpin& Qian, Deliang& Chen, YangQuan. On Riemann-Liouville and Caputo Derivatives. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-480959
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480959