Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume 2021, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1186/s13662-020-03175-x
Keywords
Optimal perturbation iteration method; Fractional Chua's circuit model; Caputo; Caputo-Fabrizio; Atangana-Baleanu
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Funding
- Spanish Government [RTI2018-094336-B-I00]
- Basque Government [IT1207-19]
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A new fractional Chua's circuit model is proposed in this paper, obtained by transforming the classical model of Chua's circuit into novel forms of various fractional derivatives. The modified system is analyzed using the optimal perturbation iteration method. The results show the applicability of the algorithms and the effectiveness of the newly introduced fractional operators through illustrations and graphics.
Chua's circuit is an electronic circuit that exhibits nonlinear dynamics. In this paper, a new model for Chua's circuit is obtained by transforming the classical model of Chua's circuit into novel forms of various fractional derivatives. The new obtained system is then named fractional Chua's circuit model. The modified system is then analyzed by the optimal perturbation iteration method. Illustrations are given to show the applicability of the algorithms, and effective graphics are sketched for comparison purposes of the newly introduced fractional operators.
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