On the Bivariate Spectral Homotopy Analysis Method Approach for Solving Nonlinear Evolution Partial Differential Equations by S. S. Motsa

“…The applicability of the new approach has been demonstrated by application on several examples of nonlinear evolution PDEs, namely, Fisher’s, Burgers-Fisher’s, Burger-Huxley’s, and Fitzhugh-Nagumo’s equations. …”
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Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates by Ling Zhang, Jingmei Pang, Jinliang Wang

“…We investigate a class of multigroup epidemic models with general exposed distribution and nonlinear incidence rates. For a simpler case that assumes an identical natural death rate for all groups, and with a gamma distribution for exposed distribution is considered. …”
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Intelligent back-propagated neural networks to study nonlinear heat transfer in tangent-hyperbolic fluids by Muhammad Asif Zahoor Raja, Huma Tayyab, Aamna Muskan Malik, Qazi Mahmood Ul Hassan, Kottakkaran Sooppy Nisar, Muhammad Shoaib

“…The numerical solutions for the nonlinear fluid dynamics system were considered to reduce mean square error. …”
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Predicting nonequilibrium Green’s function dynamics and photoemission spectra via nonlinear integral operator learning by Yuanran Zhu, Jia Yin, Cian C Reeves, Chao Yang, Vojtěch Vlček

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Optimal Robust Adaptive Fuzzy H∞ Tracking Control without Reaching Phase for Nonlinear System by El Mehdi Mellouli, Siham Massou, Ismail Boumhidi

“…An optimal H∞ tracking-based indirect adaptive fuzzy controller for a class of perturbed uncertain affine nonlinear systems without reaching phase is being developed in this paper. …”
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A New Jarratt-Type Fourth-Order Method for Solving System of Nonlinear Equations and Applications by Moin-ud-Din Junjua, Saima Akram, Nusrat Yasmin, Fiza Zafar

“…Solving systems of nonlinear equations plays a major role in engineering problems. …”
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Nonlinear Vibration Analysis of Tubing Strings in Underground Gas Storage Using Multiscale Wavelet Transform by Hang Yan, Yifei Yan, Xiangzhen Yan

“…The tubing string exposed to transient flow may undergo nonlinear vibration due to sudden change in pressure in conveying gas. …”
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Approximating Fixed Points and the Solution of a Nonlinear Fractional Difference Equation via an Iterative Method by Faizan Ahmad Khan

“…Finally, the solution of a nonlinear fractional difference equation is approximated via the proposed iterative method. …”
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Multiple Nonlinear Oscillations in a 𝔻3×𝔻3-Symmetrical Coupled System of Identical Cells with Delays by Haijun Hu, Li Liu, Jie Mao

“…The individual cells are modelled by a scalar delay differential equation which includes linear decay and nonlinear delayed feedback. By analyzing the corresponding characteristic equations, the linear stability of the equilibrium is given. …”
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Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms by Yaojun Ye

“…The initial-boundary value problem for a class of nonlinear wave equations system in bounded domain is studied. …”
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Robust Distributed H∞ Filtering for Nonlinear Systems with Sensor Saturations and Fractional Uncertainties with Digital Simulation by Dong Liu, Guangfu Tang, Zhiyuan He, Yan Zhao, Hui Pang

“…This paper is concerned with the robust distributed H∞ filtering problem for nonlinear systems subject to sensor saturations and fractional parameter uncertainties. …”
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Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses by Abdelkrim Salim, Mouffak Benchohra, Jamal Eddine Lazreg, Gaston N’Guérékata

“…This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. …”
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On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle by S. S. Motsa, O. D. Makinde, S. Shateyi

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Nonlinear Noise Compensation in an Integration System of Fiber-Wireless Communication and Free Space Optical Communication by Long Chen, Miao Liu, Zhijun Tang

“…The nonlinear equalizer is employed to compensate the distortion caused by the beating between OFDM signal subcarriers in the combination system. …”
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Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis by Yong-Hua Liu, Ying Feng, Xinkai Chen

“…The output tracking problem for a class of uncertain strict-feedback nonlinear systems with unknown Duhem hysteresis input is investigated. …”
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Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay by Zhongda Lu, Guoliang Zhang, Yi Sun, Jie Sun, Fangming Jin, Fengxia Xu

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Dynamics of Nonlinear Coupled Electrostatic Micromechanical Resonators under Two-Frequency Parametric and External Excitations by Wen-Ming Zhang, Guang Meng, Ke-Xiang Wei

“…In this paper, nonlinear dynamics and chaos of electrostatically actuated MEMS resonators under two-frequency parametric and external excitations are investigated analytically and numerically. …”
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Bifurcation of a Delayed SEIS Epidemic Model with a Changing Delitescence and Nonlinear Incidence Rate by Juan Liu

“…This paper is concerned with a delayed SEIS (Susceptible-Exposed-Infectious-Susceptible) epidemic model with a changing delitescence and nonlinear incidence rate. First of all, local stability of the endemic equilibrium and the existence of a Hopf bifurcation are studied by choosing the time delay as the bifurcation parameter. …”
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Innovative observer design for nonlinear systems using Caputo fractional derivative with respect to another function by Kareem Alanazi, Omar Naifar, Raouf Fakhfakh, Abdellatif Ben Makhlouf

“…By extending the widely recognized Caputo-Hadamard (CH) fractional-order derivative, we address its utility in nonlinear systems. The core of our contribution is the practical stability for systems governed by this derivative, which ensures convergence toward a bounded region around the origin. …”
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Asymptotic Behavior of the 3D Compressible Euler Equations with Nonlinear Damping and Slip Boundary Condition by Huimin Yu

“…Comparing with linear damping, nonlinear damping can be ignored under small initial data.…”
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