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https://hdl.handle.net/1959.11/7898| Title: | Fractional Differential Equations on Algebroids and Fractional Algebroids | Contributor(s): | Chis, Oana (author); Despi, Ioan (author); Opris, Dumitru (author) | Publication Date: | 2010 | DOI: | 10.1007/978-90-481-3293-5_15 | Handle Link: | https://hdl.handle.net/1959.11/7898 | Abstract: | Using Caputo fractional derivative of order α we build the fractional α tangent fiber bundle and its main geometrical structures. We consider Poisson realizations for Maxwell-Bloch and Rabinovich differential equations that allow us to construct a Leibniz algebroid structure on R³ Fractional differential equations on algebroids are defined, some conclusions and numeric simulations are provided. | Publication Type: | Conference Publication | Conference Details: | FDA 2008: 3rd IFAC Workshop on Fractional Differentiation and its Applications, Ankara, Turkey, 5th - 7th November, 2008 | Source of Publication: | New Trends in Nanotechnology and Fractional Calculus Applications, p. 193-201 | Publisher: | Springer | Place of Publication: | Dordrecht, Netherlands | Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | E1 Refereed Scholarly Conference Publication | Publisher/associated links: | http://trove.nla.gov.au/work/36748030 |
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| Appears in Collections: | Conference Publication |
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