Fractional Differential Equations on Algebroids and Fractional Algebroids

Author(s)
Chis, Oana
Despi, Ioan
Opris, Dumitru
Publication Date
2010
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.
Citation
New Trends in Nanotechnology and Fractional Calculus Applications, p. 193-201
ISBN
9789048132935
9789048132928
Link
https://hdl.handle.net/1959.11/7898
Publisher
Springer
Title
Fractional Differential Equations on Algebroids and Fractional Algebroids
Type of document
Conference Publication
Entity Type
Publication

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