Parameter Estimation for the One-Term (Multiterm) Fractional-Order SEIAR Models of Norovirus Outbreak by Tianzeng Li, Yu Wang, Weiqiu Pan

“…To provide the numerical solution of the single-term (or multiterm) fractional-order nonlinear differential equation, the GMMP scheme and Newton method are introduced. …”
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Reconstructing the Dynamics of the Outer Electron Radiation Belt by Means of the Standard and Ensemble Kalman Filter With the VERB‐3D Code by Angelica M. Castillo Tibocha, Jana deWiljes, Yuri Y. Shprits, Nikita A. Aseev

“…The ensemble Kalman filter (EnKF) is one of the most promising filtering tools for nonlinear and high dimensional systems in the context of terrestrial weather prediction. …”
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Disturbance Rejection in a One-Half Semiactive Vehicle Suspension by means of a Fuzzy-H∞ Controller by L. C. Félix-Herrán, Driss Mehdi, José de Jesús Rodríguez-Ortiz, Victor H. Benitez, Ricardo A. Ramirez‐Mendoza, Rogelio Soto

“…The herein contribution resides in the development and computation of an H∞ controller with parallel distributed compensation (PDC) designed from a highly nonlinear system modelled via the Takagi–Sugeno (T-S) fuzzy approach. …”
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A Pressure- and Frequency-Dependent Multiscale Model for Describing the Wave Propagation Characteristics of Fluid-Saturated Porous Media by Jingyang Yang, Fanchang Zhang, Jun Wu

“…Pressure dependence is mainly dominated by the opening and closing of compliant and stiff pores in rocks, as well as nonlinear deformation respect to high-order elastic constants. …”
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Re-calibrating measurements of low-cost air quality monitors using PCR-GPR air quality forecasting models. by Bing Liu, Shuting Yang, Junqi Wang

“…However, there are often complex nonlinear relationships between pollutant concentrations and AQM measurements. …”
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Fatigue characteristics of deep excavation-disturbed jinping marble by Anlin Zhang, Ru Zhang, Ting Ai, Li Ren, Zetian Zhang, Jing Xie, Chendi Lou, Kun Xiao, Zeqian Yang

“…A decrease in the elastic modulus and an increase in the dissipated energy and irreversible strain exhibit an evolution pattern of initial→stabilization→acceleration, reflecting the nonlinear fatigue process that occurs inside marble. …”
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Association of the Monocyte to High-Density Lipoprotein Cholesterol Ratio and Neutrophil to High-Density Lipoprotein Cholesterol Ratio With the Severity of New-Onset Coronary Arter... by Shu H, Han S, Qiu W, Li J, Zhang X, Su H, Wu H, Zhao G, Li Q

“…RCS curve analysis indicated a nonlinear relationship between the two biomarkers and GS (P< 0.05) and there were clear inflection points. …”
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New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations by Mohamed S. Al-luhaibi

“…This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger’s equations with fractional time derivative. …”
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Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like by Zhou Qing-Mei, Ge Bin

“…A class of nonlinear elliptic problems driven by p(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. …”
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About one problem of optimal control synthesis by Muhametberdy Rakhimov

“…Despite the significant theoretical and practical implications, there is limited research exploring the application of spectral decomposition of non-self-adjoint differential operators to explicitly solve this nonlinear Riccati equation. Therefore, investigating operator Riccati equations holds potential to validate the dynamic programming method and address the synthesis problem…”
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Zero-dispersion limit for integrable equations on the half-line with linearisable data by A. S. Fokas, S. Kamvissis

“…We study the zero-dispersion limit for certain initial boundary value problems for the defocusing nonlinear Schrödinger (NLS) equationand for the Korteweg-de Vries (KdV)equation with dominant surface tension. …”
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A Remark on a Nonlocal-in-Time Heat Equation by Walker, Christoph

“…The equation features a nonlinear term that depends on the time-integral of the unknown on the whole, a priori given, interval of existence.…”
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The Existence of Positive Solution for Semilinear Elliptic Equations with Multiple an Inverse Square Potential and Hardy-Sobolev Critical Exponents by M. Khiddi

“…Via the concentration compactness principle, delicate energy estimates, the strong maximum principle, and the Mountain Pass lemma, the existence of positive solutions for a nonlinear PDE with multi-singular inverse square potentials and critical Sobolev-Hardy exponent is proved. …”
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Adaptation to Social Complexity by M. S. Negrova

“…By Historical Standards, the Recent Introduction of the Nonlinear Approach into the Scientific World Picture put the Classical Understanding of Space and Time to the Obstruction. …”
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New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications by Kelong Cheng, Chunxiang Guo

“…Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations. …”
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Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method by Constantin Bota, Bogdan Căruntu

“…PLSM allows us to compute approximate analytical solutions for the Brusselator system, which is a fractional-order system of nonlinear differential equations.…”
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Multiplicity Results for a Perturbed Elliptic Neumann Problem by Gabriele Bonanno, Giuseppina D'Aguì

“…The existence of three solutions for elliptic Neumann problems with a perturbed nonlinear term depending on two real parameters is investigated. …”
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Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation by Taiyong Chen, Wenbin Liu

“…This paper considers the existence of solutions for two boundary value problems for fractional -Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. …”
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The Global Convergence of a New Mixed Conjugate Gradient Method for Unconstrained Optimization by Yang Yueting, Cao Mingyuan

“…We propose and generalize a new nonlinear conjugate gradient method for unconstrained optimization. …”
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Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems by Hongyu Li

“…Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. …”
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