High order approximation to new generalized Caputo fractional derivatives and its applications

High order approximation to new generalized Caputo fractional derivatives and its applications

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...

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Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2018
Subjects:
Caputo
DRNTU::Engineering::Electrical and electronic engineering
Educational Assessment
Online Access:https://hdl.handle.net/10356/88683
http://hdl.handle.net/10220/45899
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-886832020-03-07T14:02:36Z High order approximation to new generalized Caputo fractional derivatives and its applications Li, Xuhao Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) Caputo DRNTU::Engineering::Electrical and electronic engineering Educational Assessment 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. Published version 2018-09-07T04:38:21Z 2019-12-06T17:08:46Z 2018-09-07T04:38:21Z 2019-12-06T17:08:46Z 2018 Journal Article 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 0094-243X https://hdl.handle.net/10356/88683 http://hdl.handle.net/10220/45899 10.1063/1.5043779 en AIP Conference Proceedings © 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: [http://dx.doi.org/10.1063/1.5043779]. 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. 4 p. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Caputo
DRNTU::Engineering::Electrical and electronic engineering
Educational Assessment
spellingShingle Caputo
DRNTU::Engineering::Electrical and electronic engineering
Educational Assessment
Li, Xuhao
Wong, Patricia Jia Yiing
High order approximation to new generalized Caputo fractional derivatives and its applications
description 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.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Li, Xuhao
Wong, Patricia Jia Yiing
format Article
author Li, Xuhao
Wong, Patricia Jia Yiing
author_sort Li, Xuhao
title High order approximation to new generalized Caputo fractional derivatives and its applications
title_short High order approximation to new generalized Caputo fractional derivatives and its applications
title_full High order approximation to new generalized Caputo fractional derivatives and its applications
title_fullStr High order approximation to new generalized Caputo fractional derivatives and its applications
title_full_unstemmed High order approximation to new generalized Caputo fractional derivatives and its applications
title_sort high order approximation to new generalized caputo fractional derivatives and its applications
publishDate 2018
url https://hdl.handle.net/10356/88683
http://hdl.handle.net/10220/45899
_version_ 1681038210432499712

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