Search Results - "Machado, J. A. T."
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On distinctive solitons type solutions for some important nonlinear Schrödinger equations
Published in Optical and quantum electronics (01-02-2021)“…The extended Jacobi elliptic function expansion (EJEFE) method is used to retrieve several types of optical solitons of two nonlinear Schrödinger equations,…”
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Measuring the Brazilian ethanol and gasoline market efficiency using DFA-Hurst and fractal dimension
Published in Energy economics (01-01-2020)“…The ethanol and petroleum represent important energy commodities. Brazil is one of the world's largest producers of ethanol and became one of the ten largest…”
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Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method
Published in Physica scripta (01-07-2020)“…This work finds several new traveling wave solutions for nonlinear directional couplers with optical metamaterials by means of the modified Kudryashov method…”
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New nonautonomous combined multi-wave solutions for (2+1)-dimensional variable coefficients KdV equation
Published in Nonlinear dynamics (01-07-2018)“…A variety of new types of nonautonomous combined multi-wave solutions of the ( 2 + 1 )-dimensional variable coefficients KdV equation is derived by means of…”
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New complex waves in nonlinear optics based on the complex Ginzburg-Landau equation with Kerr law nonlinearity
Published in European physical journal plus (01-01-2019)“… A variety of new complex waves representing solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity is investigated. Two different…”
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On nonautonomous complex wave solutions described by the coupled Schrödinger–Boussinesq equation with variable-coefficients
Published in Optical and quantum electronics (01-02-2018)“…This paper investigates the coupled Schrödinger–Boussinesq equation with variable-coefficients using the unified method. New nonautonomous complex wave…”
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Partial chaos suppression in a fractional order macroeconomic model
Published in Mathematics and computers in simulation (01-04-2016)“…This work investigates the possibility of suppressing chaos in a fractional-nonlinear macroeconomic dynamic model. The system generalizes a model recently…”
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Fractional and fractal processes applied to cryptocurrencies price series
Published in Journal of advanced research (01-09-2021)“…[Display omitted] •The dynamics of the cryptocurrencies is analyzed.•Several tools for investigating the dynamic behavior of the cryptocurrencies are…”
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Control of a 6-DOF Parallel Manipulator through a Mechatronic Approach
Published in Journal of vibration and control (01-09-2007)“…This paper shows that a hierarchical architecture, distributing several control actions in growing levels of complexity and using resources of reconfigurable…”
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Fractional Order Control of a Hexapod Robot
Published in Nonlinear dynamics (01-12-2004)“…This paper studies the performance of integer and fractional order controllers in a hexapod robot with joints at the legs having viscous friction and…”
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The role of fractional calculus in modeling biological phenomena: A review
Published in Communications in nonlinear science & numerical simulation (01-10-2017)“…•An up to date review with the latest scientific results of fractional calculus in both science and engineering fields.•The use of fractional calculus in…”
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An integro quadratic spline approach for a class of variable-order fractional initial value problems
Published in Chaos, solitons and fractals (01-09-2017)“…This paper develops a technique for the approximate solution of a class of variable-order fractional differential equations useful in the area of fluid…”
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A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations
Published in Computers & mathematics with applications (1987) (15-03-2017)“…This paper addresses a stable three-level explicit scheme for a class of nonlinear time variable order fractional partial differential equations. The proposed…”
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Numerical solution of variable-order fractional integro-partial differential equations via Sinc collocation method based on single and double exponential transformations
Published in Communications in nonlinear science & numerical simulation (01-03-2020)“…•A class of multi-dimensional variable-order fractional integro-partial differential equations is under consideration.•New treatments of Sinc spectral method…”
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Fractional calculus: A survey of useful formulas
Published in The European physical journal. ST, Special topics (01-09-2013)“…This paper presents a survey of useful, established formulas in Fractional Calculus, systematically collected for reference purposes…”
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A combined measure to differentiate EEG signals using fractal dimension and MFDFA-Hurst
Published in Communications in nonlinear science & numerical simulation (01-05-2020)“…•The dynamics of the electroencephalogram signals of normal and epileptic patients is analyzed.•Multifractal Detrended Fluctuation Analysis (MFDFA), Hurst…”
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On fractional vectorial calculus
Published in Bulletin of the Polish Academy of Sciences. Technical sciences (01-08-2018)Get full text
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A new operational approach for solving fractional variational problems depending on indefinite integrals
Published in Communications in nonlinear science & numerical simulation (01-04-2018)“…•Solving fractional variational problems depending on indefinite integrals.•Fractional integral operational matrix is used together with the Lagrange…”
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Modeling of the Lung Impedance Using a Fractional-Order Ladder Network With Constant Phase Elements
Published in IEEE transactions on biomedical circuits and systems (01-02-2011)“…The self similar branching arrangement of the airways makes the respiratory system an ideal candidate for the application of fractional calculus theory. The…”
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