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Fractional Differential Equations on Algebroids and Fractional Algebroids |
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Editor(s): Dumitru Baleanu, Ziya Burhanettin Guvenc and JA Tenreiro Machado |
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10.1007/978-90-481-3293-5_15 |
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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. |
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New Trends in Nanotechnology and Fractional Calculus Applications, p. 193-201 |
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