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 operatorsThe authors are grateful to the Spanish Government for Grant RTI2018-094336-B-I00 (MCIU/AEI/FEDER, UE) and to the Basque Government for Grant IT1207-1
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This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with a fra...
The paper deals with the solution of problems that concern fractional time derivatives. Specifically...
This work considers a new generalized operator which is based on the application of Caputo-type frac...
AbstractIn this paper, we develop a framework to obtain approximate numerical solutions of the fract...
In the paper, we futher consider a fractional-order system from a modified Chua’s circuit system wit...
In recent years, fractional-order differential operators, and the dynamic models constructed based o...
In this article, a new numerical method is proposed for solving a class of fractional order optimal ...
Nowadays, fractional order differential operators, as a generalization for classical differential op...
This paper presents a novel modeling technique for a VTOL electromechanical nonlinear dynamical syst...
A modified fractional-order Chua chaotic circuit is proposed in this paper, and the chaotic attracto...
We presented the model of resistance, inductance, capacitance circuit using a novel derivative with ...
The Fractional Calculus (FC) is a mathematical tool applied in scientific areas such as electricity...
Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Neverthe...
This paper investigates the modified projective synchronization (MPS) between two hyperchaotic memri...
AbstractIn this work, the fractional KdV–Burgers–Kuramoto equation is studied. He’s variational iter...
This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with a fra...
The paper deals with the solution of problems that concern fractional time derivatives. Specifically...
This work considers a new generalized operator which is based on the application of Caputo-type frac...