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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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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Initial Parameter Analysis about Resonant Orbits in Earth-Moon System by Li-Bo Liu, Ying-Jing Qian, Xiao-Dong Yang

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Regression Cloud Models and Their Applications in Energy Consumption of Data Center by Yanshuang Zhou, Na Li, Hong Li, Yongqiang Zhang

“…In this paper, we analyzed linear and nonlinear regression energy model based on performance counters and system utilization and proposed a support vector regression energy model. …”
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Automotive Occupant Dynamics Optimization by J.A. Bennett, G.J. Park

“…In addition the calculated response measures are usually highly nonlinear functions of the accelerations. Two approaches using an approximate problem formulation strategy are proposed. …”
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Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations by Ahmad Sami Bataineh, Osman Rasit Isik, Ishak Hashim

“…In this paper, the Bernstein collocation method (BCM) is used for the first time to solve the nonlinear magnetohydrodynamics (MHD) Jeffery–Hamel arterial blood flow issue. …”
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Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation Based on the Jacobi Elliptic Function Ideas by Qinghao Zhu, Jianming Qi

“…HFSCE expounded the nonlinear long-range ferromagnetic ordering magnetism. …”
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Fully Kernected Neural Networks by Wei Zhang, Zhi Han, Xiai Chen, Baichen Liu, Huidi Jia, Yandong Tang

“…We find that improving nonlinear ability of DCNNs can break through the saturation accuracy. …”
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Structural Damage Identification Method Based on Parametric Boundary Condition Optimization by Wei Guo, Wei Jiang

“…According to the heterogeneous background interference, the subjective consciousness, inaccurate quantification, and high cost in practical engineering, a method of applying the Bouc–Wen hysteresis nonlinear model to hysteresis characteristics of rubber isolation bearings is proposed, and this method analyzes the sensitivity of nonlinear parameters of the Bouc–Wen hysteresis model and obtains the order of nonlinear parameters of hysteresis model under different sizes of excitation. …”
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Dimension Analysis-Based Model for Prediction of Shale Compressive Strength by Xiangyu Fan, Fenglin Xu, Lin Chen, Qiao Chen, Zhiwei Liu, Guanghua Yao, Wen Nie

“…More importantly, our dimension analysis-based model needs to determine only one parameter, whereas the multi-nonlinear-regression model needs to determine five. …”
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Design of an Error-Based Adaptive Controller for a Flexible Robot Arm Using Dynamic Pole Motion Approach by Ki-Young Song, Madan M. Gupta, Noriyasu Homma

“…The purpose of this novel design approach is to make the system response reasonably fast with no overshoot, where the system may be time varying and nonlinear with only partially known dynamics. The E-BAC is implanted in a system as a nonlinear controller with two dominant dynamic parameters: the dynamic position feedback and the dynamic velocity feedback. …”
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Numerical Simulation of Fractional Zakharov–Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method by Dianchen Lu, Muhammad Suleman, Jamshaid Ul Rahman, Samad Noeiaghdam, Ghulam Murtaza

“…The core aim of this study is to propose a novel computational procedure, namely, Elzaki transform iterative method to work out two-dimensional nonlinear time-fractional Zakharov–Kuznetsov equation numerically. …”
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The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

“…By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. …”
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Stability of a positive equilibrium state for a stochastically perturbed mathematical model ofglassy-winged sharpshooter population by Leonid Shaikhet

“…The known nonlinear mathematical model of the Glassy-winged Sharpshooter is considered. …”
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