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...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
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2018
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| Online Access: | https://hdl.handle.net/10356/88683 http://hdl.handle.net/10220/45899 |
| _version_ | 1811682941170876416 |
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| author | Li, Xuhao Wong, Patricia Jia Yiing |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Li, Xuhao Wong, Patricia Jia Yiing |
| author_sort | Li, Xuhao |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T04:04:50Z |
| format | Journal Article |
| id | ntu-10356/88683 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:04:50Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ntu-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 |
| 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 |
| title | 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_short | 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 |
| topic | Caputo DRNTU::Engineering::Electrical and electronic engineering Educational Assessment |
| url | https://hdl.handle.net/10356/88683 http://hdl.handle.net/10220/45899 |
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