New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation by Peng Guo, Xiang Wu, Liangbi Wang

“…The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. …”
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Robust and Arbitrary Pole Placement using Static Output Feedback by El Faiz Samira, Guerbaoui Mohammed, Ed-Dahhak Abdelali, Lachhab Abdeslam

“…The robust and arbitrary pole placement problem is formulated as a nonlinear and non-convex programming problem with a nonlinear constraint on matrix functions as well as a linear constraint. …”
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Fluid-Induced Vibration Elimination of a Rotor/Seal System with the Dynamic Vibration Absorber by Qi Xu, Junkai Niu, Hongliang Yao, Lichao Zhao, Bangchun Wen

“…The simplified rotor model with the absorber is established, and the Muszynska fluid force model is employed for the nonlinear seal force. The numerical method is used for the solutions of the nonlinear differential equations. …”
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High-Accuracy Surface Profile Measurement Based on the Vortex Phase-Shifting Interferometry by Donge Zhao, Chaozheng Jia, Yayun Ma, Xuefeng Yang, Bin Zhang, Wenbo Chu

“…The results show that nonlinear phase modulation has a great impact on the measurement. …”
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The Characteristics of Seismic Response on Hard Interlayer Sites by Jie Su, Zhenghua Zhou, You Zhou, Xiaojun Li, Qing Dong, Yafei Wang, Yuping Li, Liu Chen

“…With the increase of hard interlayer thickness, the site nonlinear effect on seismic responses decreased. Under the same thickness of the hard interlayer, the nonlinear effect of the site was strengthened with the higher input peak acceleration. …”
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Instantaneous Frequency Identification Using Adaptive Linear Chirplet Transform and Matching Pursuit by Chang Xu, Cong Wang, Jingbo Gao

“…The result shows that it will significantly increase the accuracy of nonlinear frequency trajectory identification.…”
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Experimental Validation of Numerical Model for Bi-Tilt-Isolator by Ming-Hsiang Shih, Wen-Pei Sung, Chia-Yu Ho

“…Sliding force, friction force, and impulse force are caused in the slanting process of BTI, nonlinear behavior. A nonlinear mathematical model is derived based on the sliding upwards, sliding downwards, and transition stages. …”
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Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations by Shou-Ting Chen, Wen-Xiu Ma

“…We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are made for solving both the nonlinear equation and the corresponding bilinear equation. …”
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Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel by M. Esmaeilpour, Naeem Roshan, Negar Roshan, D. D. Ganji

“…The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.…”
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Stability Analysis of Distributed Order Fractional Chen System by H. Aminikhah, A. Refahi Sheikhani, H. Rezazadeh

“…We first investigate sufficient and necessary conditions of stability of nonlinear distributed order fractional system and then we generalize the integer-order Chen system into the distributed order fractional domain. …”
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Solvlng Non-Linear First Order Ordinary Differential Equations. by Taremwa, Elias

“…The main objective of the study was to compare different methods used in solving nonlinear first-order ordinary differential equations…”
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A Novel Design of a Neural Network-Based Fractional PID Controller for Mobile Robots Using Hybridized Fruit Fly and Particle Swarm Optimization by Ghusn Abdul Redha Ibraheem, Ahmad Taher Azar, Ibraheem Kasim Ibraheem, Amjad J. Humaidi

“…This work offers the analysis, design, and simulation of a new neural network- (NN) based nonlinear fractional control structure. With suitable arrangements of the hidden layer neurons using nonlinear and linear activation functions in the hidden and output layers, respectively, and with appropriate connection weights between different hidden layer neurons, a new class of nonlinear neural fractional-order proportional integral derivative (NNFOPID) controller is proposed and designed. …”
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Atomistic Study on the Mechanical Properties of HOP–Graphene Under Variable Strain, Temperature, and Defect Conditions by Qing Peng, Jiale Li, Xintian Cai, Gen Chen, Zeyu Huang, Lihang Zheng, Hongyang Li, Xiao-Jia Chen, Zhongwei Hu

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On the existence of solutions to fractional differential equations involving Caputo q-derivative in Banach spaces by Isra Al-Shbeil, Houari Bouzid, Benali Abdelkader, Alina Alp Lupas, Mohammad Esmael Samei, Reem K. Alhefthi

“…We analyze the existence and uniqueness of solutions to the multi-point nonlinear BVPs base on fixed point theory, including fixed point theorem of Banach, Leray-nonlinear Schauder's alternative, and Leray-degree Schauder's theory. …”
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Analyzing chaotic systems with multi-step methods: Theory and simulations by Meriem Mansouria Belhamiti, Zoubir Dahmani, Jehad Alzabut, D.K. Almutairi, Hasib Khan

“…This study explores new chaotic nonlinear integro-differential systems with four variables, employing Caputo–Fabrizio and Atangana–Baleanu derivatives. …”
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Study on the Existence and Uniqueness of Solution of Generalized Capillarity Problem by Li Wei, Liling Duan, Haiyun Zhou

“…By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence and uniqueness of the solution in Lp(Ω) of the generalized Capillarity equation with nonlinear Neumann boundary value conditions, where 2N/(N+1)<p<+∞ and N≥1 denotes the dimension of RN, is studied. …”
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THE IDENTIFICATION ALGORITHM OF METROLOGICAL CHARACTERISTICS OF WIDE-RANGE PHOTOVOLTAIC SEMICONDUCTOR CONVERTERS WITH MULTIPLY IMPURITIES by O. K. Gusev, A. I. Svistun, L. I. Shadurskaya, N. V. Yarjembitskaya

“…The algorithm of the measurement procedure of the metrological characteristics of PSC is introduced not only at low densities of optical power, but at high, taking into account the boundary of nonlinear recombination. The estimation of accuracy of feature finding of the metrological characteristics PSC based on semiconductors with the multiple-charge impurities, is carried out, taking into consideration the area of nonlinear recombination.…”
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Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition by Zhongqi Peng, Yuan Li, Qi Zhang, Yimin Xue

“…In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem with the conformable derivatives in the Caputo setting, respectively. …”
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Predictive Differential Game Guidance Approach for Hypersonic Target Interception Based on CQPSO by Fan He, Weiyi Chen, Yang Bao

“…The nonlinear differential model is transformed into a differential game model by combining a performance index. …”
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High-Accurate Numerical Schemes for Black–Scholes Models with Sensitivity Analysis by Samir Kumar Bhowmik, Jakobin Alam Khan

“…The significance of both the linear and nonlinear Black-Scholes partial differential equation model is huge in the field of financial analysis. …”
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