A Nonlinear Hybrid Algorithm for Retrieving Land Surface Temperatures From Chinese Atmospheric Environment Monitoring Satellite Thermal Infrared Data by Yichao Li, Hang Zhao, Kun Li, Jian Zeng, Qiongqiong Lan, Qijin Han, You Wu, Yonggang Qian

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New Fractional Derivative Expression of the Shifted Third-Kind Chebyshev Polynomials: Application to a Type of Nonlinear Fractional Pantograph Differential Equations by Y. H. Youssri, W. M. Abd-Elhameed, H. M. Ahmed

“…The integer derivatives of the shifted third-kind Chebyshev polynomials can be calculated using this formula after performing some reductions. To solve a nonlinear fractional pantograph differential equation with quadratic nonlinearity, the fractional derivative formula is used in conjunction with the tau technique. …”
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A Tuned Mass Damper with Nonlinear Magnetic Force for Vibration Suppression with Wide Frequency Range of Offshore Platform under Earthquake Loads by Qiong Wu, Wei Zhao, Weiguo Zhu, Rencheng Zheng, Xilu Zhao

“…Therefore, this paper proposed a magnetic TMD with two pairs of permanent magnets on both sides of the structures, which can generate a nonlinearly repulsive force, making the magnetic TMD reliable and robust in damping the oscillations of structures with wide frequency range under seismic excitations. …”
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The Classification of Traveling Wave Solutions to Space-Time Fractional Resonance Nonlinear Schrödinger Type Equation with a Special Kind of Fractional Derivative by Lianguang Jia, Li Tang

“…In this paper, the classification of single traveling wave solutions to a special kind of space-time fractional Schrödinger type equation with high-order nonlinearities is obtained by the complete discrimination system for polynomial method, where the fractional derivative is defined by Atangana’s conformable definition. …”
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First-principles based data-driven strain engineering for ferroelectrics via active machine learning: A nonlinear piezoelectric constitutive equation by Susumu MINAMI, Yasuaki MARUYAMA, Yoshimasa ABE, Tomohiro NAKAYAMA, Takahiro SHIMADA

“…Our machine learning model can accurately predict the nonlinear mechanical deformation and electromechanical response in the three components of normal strain loading. …”
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Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method by Oluwaseun Adeyeye, Zurni Omar

“…Nonlinear boundary value problems (BVPs) are more tedious to solve than their linear counterparts. …”
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Real-Time HIL Simulation of Nonlinear Generalized Model Predictive-Based High-Order SMC for Permanent Magnet Synchronous Machine Drive by Hafidh Djouadi, Kamel Ouari, Youcef Belkhier, Hocine Lehouche

“…To tackle these intricacies and limitations, a nonlinear control approach is essential. Recent attention has turned to employing predictive control techniques for nonlinear multivariable systems, offering an intriguing avenue for research. …”
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Optimized Removal of Hydroquinone and Resorcinol by Activated Carbon Based on Shea Residue (Vitellaria paradoxa): Thermodynamics, Adsorption Mechanism, Nonlinear Kinetics, and Isotherms by Liouna Adoum Amola, Theophile Kamgaing, Rufis Fregue Tiegam Tagne, Cyrille Donlifack Atemkeng, Idris-Hermann Tiotsop Kuete, Solomon Gabche Anagho

“…The experimental data obtained under these optimal conditions were simulated with two and three parameter nonlinear isotherm models as well as kinetic models. …”
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Distributionally robust parameter estimation for nonlinear fed-batch switched time-delay system with moment constraints of uncertain measured output data by Sida Lin, Jinlong Yuan, Zichao Liu, Tao Zhou, An Li, Chuanye Gu, Kuikui Gao, Jun Xie

“…In this paper, we investigated a nonlinear continuous-time switched time-delay (NCTSTD) system for glycerol fed-batch bioconversion to 1, 3-propanediol with unknown time-delay and system parameters. …”
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Existence, uniqueness and stability analysis of a nonlinear coupled system involving mixed ϕ-Riemann-Liouville and ψ-Caputo fractional derivatives by Said Zibar, Brahim Tellab, Abdelkader Amara, Homan Emadifar, Atul Kumar, Sabir Widatalla

“…Abstract This study delves into the existence, uniqueness, and stability of solutions for a nonlinear coupled system incorporating mixed generalized fractional derivatives. …”
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Author Correction: Ultra-broadband all-optical nonlinear activation function enabled by MoTe2/optical waveguide integrated devices by Chenduan Chen, Zhan Yang, Tao Wang, Yalun Wang, Kai Gao, Jiajia Wu, Jun Wang, Jianrong Qiu, Dezhi Tan

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ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers by Hidetoshi Oya, Kojiro Hagino

“…We consider a design problem of a variable gain robust output feedback controller with guaranteed ℒ2 gain performance for a class of Lipschitz uncertain nonlinear systems. The proposed variable gain robust output feedback controller achieves not only robust stability but also a specified ℒ2 gain performance. …”
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Numerical nonlinear analysis of RC beams with un-strengthened and CFRP-strengthened opening drilled under service loads within shear zones by Magdy Khalaf, Louay Aboul-Nour, Mahmoud Khater, Marwa Ibrahim

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A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method by Brajesh Kumar Singh, Mahendra

“…This paper deals with an analytical solution of an initial value system of time dependent linear and nonlinear partial differential equations by implementing reduced differential transform (RDT) method. …”
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Elements of mathematical phenomenology and analogies of electrical and mechanical oscillators of the fractional type with finite number of degrees of freedom of oscillations: linear and nonlinear modes by Katica R. (Stevanović) Hedrih, Gradimir V. Milovanović

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Relativistic nonlinear Thomson scattering of excited electron in ultra-tightly focused circularly polarized laser pulses with different beam waist radius by Qianmin Zheng, Jiachen Li, Zi Wang, Youwei Tian

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A Novel Data-Driven Terminal Iterative Learning Control with Iteration Prediction Algorithm for a Class of Discrete-Time Nonlinear Systems by Shangtai Jin, Zhongsheng Hou, Ronghu Chi

“…A data-driven predictive terminal iterative learning control (DDPTILC) approach is proposed for discrete-time nonlinear systems with terminal tracking tasks, where only the terminal output tracking error instead of entire output trajectory tracking error is available. …”
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Explicit Exact Solutions of Nonlinear Transient Thermal Models of a Porous Moving Fin using Laplace transform - Exp-function method by Gbeminiyi Musibau Sobamowo, Joy Nneka Ojuro, Olutayo Onanuga, Antonio Marcos de Oliveira Siqueira, Júlio César Costa Campos

“… The present paper develops explicit and non-power series exact solutions to the nonlinear heat transfer models of conductive-radiative-convective moving-porous fin using Laplace transform - Exp-function method, is presented. …”
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Hybrid Method for Predictive Transient Nonlinear Analysis of a Radiative-Convective Moving Porous Fin with Temperature-variant Internal Heat Generation by Gbeminiyi Musibau Sobamowo, Ridwan Oladotun Olagbadamosi, Arinola Bola Ajayi, Antonio Marcos de Oliveira Siqueira

“… In this work, Laplace transform-Legendre-wavelet collocation method is adopted for a semi-numerical analysis of predicting transient nonlinear behaviour of a radiative-convective fin with temperature-variant internal heat generation. …”
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Nonlinear association between proteinuria levels and the risk of cardiovascular disease events and all-cause mortality among chronic kidney disease patients by Haiying Song, Yuheng Liao, Haofei Hu, Qijun Wan

“…Further adjustments maintained significant associations; HRs for middle and high groups were 1.71 (95% CI: 1.12–2.61) and 3.07 (95% CI: 2.08–4.54). A nonlinear UPCR-primary outcome relationship was observed, with an inflection point at 3.93 g/gCr.Conclusion Among non-dialyzed patients with stage G2-G5 CKD, a nonlinear association between UPCR and the primary outcome was observed. …”
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