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Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation.
- Source :
- Entropy; Feb2017, Vol. 19 Issue 2, p55, 13p
- Publication Year :
- 2017
-
Abstract
- In this work, the study of the fractional behavior of the Bateman-Feshbach-Tikochinsky and Caldirola-Kanai oscillators by using different fractional derivatives is presented. We obtained the Euler-Lagrange and the Hamiltonian formalisms in order to represent the dynamic models based on the Liouville-Caputo, Caputo-Fabrizio-Caputo and the new fractional derivative based on the Mittag-Leffler kernel with arbitrary order a. Simulation results are presented in order to show the fractional behavior of the oscillators, and the classical behavior is recovered when a is equal to 1. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10994300
- Volume :
- 19
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Entropy
- Publication Type :
- Academic Journal
- Accession number :
- 121628839
- Full Text :
- https://doi.org/10.3390/e19020055