Riemann–Liouville and Weyl fractional oscillator processes
Two types of oscillator processes can be obtained as solutions to fractional Langevin equation based on Riemann-Liouville and Weyl fractional integro-differential operators. The relation between these fractional oscillator processes and the corresponding fractional Brownian motion is considered. Gen...
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| Format: | Article |
| Language: | English |
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Elsevier Science
2006
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| Online Access: | http://shdl.mmu.edu.my/1953/ http://shdl.mmu.edu.my/1953/1/Riemann%E2%80%93Liouville%20and%20Weyl%20fractional%20oscillator%20processes.pdf |
| _version_ | 1848789923669213184 |
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| author | Lim, S. C. Eab, Chai Hok |
| author_facet | Lim, S. C. Eab, Chai Hok |
| author_sort | Lim, S. C. |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | Two types of oscillator processes can be obtained as solutions to fractional Langevin equation based on Riemann-Liouville and Weyl fractional integro-differential operators. The relation between these fractional oscillator processes and the corresponding fractional Brownian motion is considered. Generalization of the Weyl fractional oscillator process to positive temperature can be carried out and its partition function can be calculated using the zeta function regularization method. (c) 2006 Elsevier B.V. All rights reserved. |
| first_indexed | 2025-11-14T18:04:26Z |
| format | Article |
| id | mmu-1953 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:04:26Z |
| publishDate | 2006 |
| publisher | Elsevier Science |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-19532014-01-28T03:07:36Z http://shdl.mmu.edu.my/1953/ Riemann–Liouville and Weyl fractional oscillator processes Lim, S. C. Eab, Chai Hok QC Physics Two types of oscillator processes can be obtained as solutions to fractional Langevin equation based on Riemann-Liouville and Weyl fractional integro-differential operators. The relation between these fractional oscillator processes and the corresponding fractional Brownian motion is considered. Generalization of the Weyl fractional oscillator process to positive temperature can be carried out and its partition function can be calculated using the zeta function regularization method. (c) 2006 Elsevier B.V. All rights reserved. Elsevier Science 2006-06 Article NonPeerReviewed text en http://shdl.mmu.edu.my/1953/1/Riemann%E2%80%93Liouville%20and%20Weyl%20fractional%20oscillator%20processes.pdf Lim, S. C. and Eab, Chai Hok (2006) Riemann–Liouville and Weyl fractional oscillator processes. Physics Letters A, 355 (2). p. 87. ISSN 0375-9601 http://dx.doi.org/10.1016/j.physleta.2006.02.014 doi:10.1016/j.physleta.2006.02.014 doi:10.1016/j.physleta.2006.02.014 |
| spellingShingle | QC Physics Lim, S. C. Eab, Chai Hok Riemann–Liouville and Weyl fractional oscillator processes |
| title | Riemann–Liouville and Weyl fractional oscillator processes |
| title_full | Riemann–Liouville and Weyl fractional oscillator processes |
| title_fullStr | Riemann–Liouville and Weyl fractional oscillator processes |
| title_full_unstemmed | Riemann–Liouville and Weyl fractional oscillator processes |
| title_short | Riemann–Liouville and Weyl fractional oscillator processes |
| title_sort | riemann–liouville and weyl fractional oscillator processes |
| topic | QC Physics |
| url | http://shdl.mmu.edu.my/1953/ http://shdl.mmu.edu.my/1953/ http://shdl.mmu.edu.my/1953/ http://shdl.mmu.edu.my/1953/1/Riemann%E2%80%93Liouville%20and%20Weyl%20fractional%20oscillator%20processes.pdf |