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Physica Scripta
In this work, we solve the fractional-order Fornberg-Whitham (FW) problem in the context of the Caputo operator by using the Optimal Auxiliary Function Method.
Naveed H. Iqbal +3 more
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In this work, we solve the fractional-order Fornberg-Whitham (FW) problem in the context of the Caputo operator by using the Optimal Auxiliary Function Method.
Naveed H. Iqbal +3 more
semanticscholar +2 more sources
Piecewise Optimal Auxiliary Functions Method
2021In this Chapter, the Piecewise Optimal Auxiliary Functions Method (POAFM) is introduced in order to obtain a globally smooth approximate solution to a nonlinear dynamical system.
Vasile Marinca +2 more
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The Optimal Auxiliary Functions Method
2021To apply the Optimal Auxiliary Functions Method (OAFM), we consider the following general nonlinear differential equation.
Vasile Marinca +2 more
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The First Alternative of the Optimal Auxiliary Functions Method
2021In this chapter, we will actually solve the Eq. (2.13) from which the first approximation \(u_{1} (x,C_{i} )\) can be determined.
Vasile Marinca +2 more
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Mathematical methods in the applied sciences, 2022
The calibration method has been widely used to incorporate auxiliary information in the estimation of various parameters. Specifically, some authors adapted this method to estimate the distribution function, although their proposal is computationally ...
S. Martínez, M. Rueda, M. D. Illescas
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The calibration method has been widely used to incorporate auxiliary information in the estimation of various parameters. Specifically, some authors adapted this method to estimate the distribution function, although their proposal is computationally ...
S. Martínez, M. Rueda, M. D. Illescas
semanticscholar +1 more source
The Second Alternative to the Optimal Auxiliary Functions Method
2021In this Chapter, we present an alternative to the OAFM. For the nonlinear differential equation.
Vasile Marinca +2 more
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A new global optimization technique by auxiliary function method in a directional search
Optimization Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ŞAHİNER, Ahmet, Ibrahem, Shehab A.
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Controllability and stabilization of Boolean control networks by the auxiliary function of flipping
International Journal of Robust and Nonlinear Control, 2020In this article, a hybrid method combining flip matrix approach and an open (or closed) loop control is proposed to study global controllability and stabilization of Boolean control networks (BCNs).
Bingquan Chen +3 more
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2021
In this Chapter, we will present some particular cases in which we can determine exact solutions to nonlinear dynamical systems. More precisely, for nonlinear dynamical systems given by the nonlinear differential equation.
Vasile Marinca +2 more
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In this Chapter, we will present some particular cases in which we can determine exact solutions to nonlinear dynamical systems. More precisely, for nonlinear dynamical systems given by the nonlinear differential equation.
Vasile Marinca +2 more
openaire +1 more source
2020
The optimal auxiliary functions method is implemented in this paper to derive an analytical approximate solution for the problem of nonlinear vibrations of doubly clamped nanobeam incorporating the Casimir force. A closed form solution is obtained. This model accounts for the inherent nonlinearity of the Casimir force and the geometric nonlinearity of ...
Vasile Marinca, Nicolae Herisanu
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The optimal auxiliary functions method is implemented in this paper to derive an analytical approximate solution for the problem of nonlinear vibrations of doubly clamped nanobeam incorporating the Casimir force. A closed form solution is obtained. This model accounts for the inherent nonlinearity of the Casimir force and the geometric nonlinearity of ...
Vasile Marinca, Nicolae Herisanu
openaire +1 more source