Two New Approximations for Variable-Order Fractional Derivatives
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduced a parameter σ(t) which was related to α(t); then two numerical schemes for variable-order Caputo fractional derivatives were derived; the second-order numerical approximation to variable-order fractional derivatives α(t)∈(0,1) and 3-α(t)-order approximation for α(t)∈(1,2) are established.
For the given parameter σ(t), the error estimations of formulas were proven, which were higher than some recently derived schemes.
Finally, some numerical examples with exact solutions were studied to demonstrate the theoretical analysis and verify the efficiency of the proposed methods.
American Psychological Association (APA)
Du, Ruilian& Liang, Zongqi. 2017. Two New Approximations for Variable-Order Fractional Derivatives. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1151130
Modern Language Association (MLA)
Du, Ruilian& Liang, Zongqi. Two New Approximations for Variable-Order Fractional Derivatives. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1151130
American Medical Association (AMA)
Du, Ruilian& Liang, Zongqi. Two New Approximations for Variable-Order Fractional Derivatives. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1151130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151130