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Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations

Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters, 2024-06, Vol.10, p.100735, Article 100735

2024

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Auxiliary-function-based double integral inequality approach to stability analysis of load frequency control systems with interval time-varying delay

IET control theory & applications, 2018-03, Vol.12 (5), p.601-612

2018

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A orthogonal matching pursuit: Best-first search for compressed sensing signal recovery

Digital signal processing, 2012-07, Vol.22 (4), p.555-568

2012

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Novel bifurcation solitons for an extended Kadomtsev–Petviashvili equation in fluids

Physics letters. A, 2021-10, Vol.413, p.127585, Article 127585

2021

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Boundary Hölder regularity for a class of fully nonlinear elliptic partial differential equations

Nonlinear analysis, 2022-03, Vol.216, p.112681, Article 112681

2022

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The Auxiliary Function of Computers to Aerobics

International journal of simulation systems, science & technology, 2020-06

Lei, Guest Editor Huang

2020

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Inflection point-based auxiliary function algorithm for finding global minima of coercive functions

Journal of computational and applied mathematics, 2024-10, Vol.449, p.115955, Article 115955

2024

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An effective computational approach to the local fractional low-pass electrical transmission lines model

Alexandria engineering journal, 2025-01, Vol.110, p.629-635

Wang, Kang-Jia

2025

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Nonlinear interaction between a gas bubble and a suspended sphere

Journal of fluids and structures, 2016-08, Vol.65, p.333-354

2016

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Dynamics of SEIR epidemic model by optimal auxiliary functions method

Chaos, solitons and fractals, 2021-06, Vol.147, p.110949-110949, Article 110949

2021

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A Fast Finite-Time Neural Network Control of Stochastic Nonlinear Systems

IEEE transaction on neural networks and learning systems, 2023-10, Vol.34 (10), p.7443-7452

2023

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Numerical Investigation of Volterra Integral Equations of Second Kind using Optimal Homotopy Asymptotic Method

Applied mathematics and computation, 2022-10, Vol.430, p.127304, Article 127304

2022

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Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation

Nonlinear dynamics, 2020-11, Vol.102 (3), p.1787-1799

2020

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Stability analysis for delayed neural networks based on the augmented Lyapunov-Krasovskii functional with delay-product-type and multiple integral terms

Neurocomputing (Amsterdam), 2020-10, Vol.410, p.295-303

2020

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Output-feedback photovoltaic WADC by H∞ criterion using auxiliary function

International journal of electrical power & energy systems, 2022-03, Vol.136, p.107603, Article 107603

2022

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Orthogonal Nonnegative Matrix Factorization using a novel deep Autoencoder Network

Knowledge-based systems, 2021-09, Vol.227, p.107236, Article 107236

2021

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Auxiliary function-based summation inequalities and their applications to discrete-time systems

Automatica (Oxford), 2017-04, Vol.78, p.211-215

2017

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Relationship between the methods of bounding time averages

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2022-06, Vol.380 (2225), p.20210044

Chernyshenko, Sergei

2022

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Totally positive polynomials with small length

Control and cybernetics, 2019-07, Vol.48 (3), p.463

2019

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Solving the fractional Fornberg-Whitham equation within Caputo framework using the optimal auxiliary function method

Physica scripta, 2024-05, Vol.99 (5), p.55234

2024

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Stretching Function Technique Based on The Filled Function Algorithm for Solving Unconstrained Global Optimization Problem: The Univariate Case

IAENG international journal of applied mathematics, 2023-12, Vol.53 (4), p.1-10

2023

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Modeling Spiky Functional Data With Derivatives of Smooth Functions in Function-on-Function Regression

Statistica Sinica, 2023-04

2023

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Hydrodynamic analysis of marine multibody systems by a nonlinear coupled model

Journal of fluids and structures, 2017-04, Vol.70, p.72-101

2017

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Totally positive algebraic integers with small trace

Mathematics of computation, 2021-09, Vol.90 (331), p.2317-2332

2021

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Salem numbers with minimal trace

Mathematics of computation, 2023-07, Vol.92 (342), p.1779-1790

2023

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Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations

Auxiliary-function-based double integral inequality approach to stability analysis of load frequency control systems with interval time-varying delay

A orthogonal matching pursuit: Best-first search for compressed sensing signal recovery

Novel bifurcation solitons for an extended Kadomtsev–Petviashvili equation in fluids

Boundary Hölder regularity for a class of fully nonlinear elliptic partial differential equations

The Auxiliary Function of Computers to Aerobics

Inflection point-based auxiliary function algorithm for finding global minima of coercive functions

An effective computational approach to the local fractional low-pass electrical transmission lines model

Nonlinear interaction between a gas bubble and a suspended sphere

Dynamics of SEIR epidemic model by optimal auxiliary functions method

A Fast Finite-Time Neural Network Control of Stochastic Nonlinear Systems

Numerical Investigation of Volterra Integral Equations of Second Kind using Optimal Homotopy Asymptotic Method

Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation

Stability analysis for delayed neural networks based on the augmented Lyapunov-Krasovskii functional with delay-product-type and multiple integral terms

Output-feedback photovoltaic WADC by H∞ criterion using auxiliary function

Orthogonal Nonnegative Matrix Factorization using a novel deep Autoencoder Network

Auxiliary function-based summation inequalities and their applications to discrete-time systems

Relationship between the methods of bounding time averages

Totally positive polynomials with small length

Solving the fractional Fornberg-Whitham equation within Caputo framework using the optimal auxiliary function method

Stretching Function Technique Based on The Filled Function Algorithm for Solving Unconstrained Global Optimization Problem: The Univariate Case

Modeling Spiky Functional Data With Derivatives of Smooth Functions in Function-on-Function Regression

Hydrodynamic analysis of marine multibody systems by a nonlinear coupled model

Totally positive algebraic integers with small trace

Salem numbers with minimal trace

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