A new efficient technique for solving modified Chua’s circuit model with a new fractional operator

Abstract

Abstract 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.

Keywords

• Optimal perturbation iteration method
• Fractional Chua’s circuit model
• Caputo
• Caputo–Fabrizio
• Atangana–Baleanu