JSW 2013 Vol.8(3): 572-578 ISSN: 1796-217X
doi: 10.4304/jsw.8.3.572-578
doi: 10.4304/jsw.8.3.572-578
Simulating Fractional Derivatives using Matlab
Chunmei Chi, Feng Gao
Computer Engineering School, Qingdao Technological University, Qingdao, China, 266033
Abstract—Fractional calculus has recently attracted much attention in the literature. In particular, fractional derivatives are widely discussed and applied in many areas. However, it is still hard to develop numerical methods for fractional calculus. In this paper, based on Fourier series and Taylor series technique, we provide some numerical methods for computing and simulating fractional derivatives by using Matlab. Some numerical examples are also presented.
Index Terms—Fractional derivative, fractional integral, Matlab, Fourier series, Taylor series.
Abstract—Fractional calculus has recently attracted much attention in the literature. In particular, fractional derivatives are widely discussed and applied in many areas. However, it is still hard to develop numerical methods for fractional calculus. In this paper, based on Fourier series and Taylor series technique, we provide some numerical methods for computing and simulating fractional derivatives by using Matlab. Some numerical examples are also presented.
Index Terms—Fractional derivative, fractional integral, Matlab, Fourier series, Taylor series.
Cite: Chunmei Chi, Feng Gao, "Simulating Fractional Derivatives using Matlab," Journal of Software vol. 8, no. 3, pp. 572-578, 2013.
General Information
ISSN: 1796-217X (Online)
Frequency: Quarterly
Editor-in-Chief: Prof. Antanas Verikas
Executive Editor: Ms. Yoyo Y. Zhou
Abstracting/ Indexing: DBLP, EBSCO, CNKI, Google Scholar, ProQuest, INSPEC(IET), ULRICH's Periodicals Directory, WorldCat, etc
E-mail: jsw@iap.org
-
Apr 26, 2021 News!
Vol 14, No 4- Vol 14, No 12 has been indexed by IET-(Inspec) [Click]
-
Nov 18, 2021 News!
Papers published in JSW Vol 16, No 1- Vol 16, No 6 have been indexed by DBLP [Click]
-
Dec 24, 2021 News!
Vol 15, No 1- Vol 15, No 6 has been indexed by IET-(Inspec) [Click]
-
Nov 18, 2021 News!
[CFP] 2022 the annual meeting of JSW Editorial Board, ICCSM 2022, will be held in Rome, Italy, July 21-23, 2022 [Click]
-
Aug 01, 2023 News!