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Title: High order approximation to new generalized Caputo fractional derivatives and its applications
Authors: Li, Xuhao
Wong, Patricia Jia Yiing
Keywords: Caputo
DRNTU::Engineering::Electrical and electronic engineering
Educational Assessment
Issue Date: 2018
Source: Li, X., & Wong, P. J. Y. (2018). High order approximation to new generalized Caputo fractional derivatives and its applications. AIP Conference Proceedings, 1978(1), 130006-. doi:10.1063/1.5043779
Series/Report no.: AIP Conference Proceedings
Abstract: In this paper, we shall develop a generalized L1 − 2 formula for new generalized fractional Caputo derivatives. It is theoretically shown that this new approximation achieves O(τ3−α) (τ is the step size) which improves earlier work done to date. Also, numerical tests and an application are presented to demonstrate the efficiency and accuracy of the proposed method.
ISSN: 0094-243X
DOI: 10.1063/1.5043779
Rights: © 2018 The Author(s) (Published by AIP). This paper was published in AIP Conference Proceedings and is made available as an electronic reprint (preprint) with permission of The Author(s) (Published by AIP). The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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