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On the sectorial property of the Caputo derivative operator

Ito, K; Jin, B; Takeuchi, T; (2015) On the sectorial property of the Caputo derivative operator. Applied Mathematics Letters , 47 pp. 43-46. 10.1016/j.aml.2015.03.001. Green open access

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Abstract

In this note, we establish the sectorial property of the Caputo fractional derivative operator of order α∈(1,2) with a zero Dirichlet boundary condition.

Type: Article
Title: On the sectorial property of the Caputo derivative operator
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.aml.2015.03.001
Publisher version: http://dx.doi.org/10.1016/j.aml.2015.03.001
Language: English
Additional information: Copyright © 2015. This manuscript version is published under a Creative Commons Attribution Non-commercial Non-derivative 4.0 International licence (CC BY-NC-ND 4.0). This licence allows you to share, copy, distribute and transmit the work for personal and non-commercial use providing author and publisher attribution is clearly stated. Further details about CC BY licences are available at http://creativecommons.org/licenses/by/4.0.
Keywords: Caputo fractional derivative; Sectorial property
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/1463531
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