Common Fixed-Point Results in Ordered Left (Right) Quasi-b-Metric Spaces and Applications by Hemant Kumar Nashine, Sourav Shil, Hiranmoy Garai, Lakshmi Kanta Dey, Vahid Parvaneh

“…Finally, we provide a nontrivial example to validate the sufficient conditions for nonlinear matrix equations with numerical approximations.…”
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Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations by Jie Luo, Jiangtao Guo, Yan Shao, Guangxu Zhao, Min Jiao

“…Firstly, the stochastic Riemann wave equations in quantum mechanics is simplified into nonlinear ordinary differential equation. Secondly, the third-order complete discriminant system is applied to the nonlinear ordinary differential equation, and some traveling wave solutions of stochastic Riemann wave equations are obtained. …”
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Smart Wireless Power Transfer Operated by Time-Modulated Arrays via a Two-Step Procedure by Diego Masotti, Alessandra Costanzo, Vittorio Rizzoli

“…Very promising simulated energy transfer performance of the entire nonlinear radiating system is demonstrated.…”
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A Study on the Convergence of Series Solution of Non-Newtonian Third Grade Fluid with Variable Viscosity: By Means of Homotopy Analysis Method by R. Ellahi

“…This work is concerned with the series solutions for the flow of third-grade non-Newtonian fluid with variable viscosity. Due to the nonlinear, coupled, and highly complicated nature of partial differential equations, finding an analytical solution is not an easy task. …”
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Analysis of the Fractional-Order Delay Differential Equations by the Numerical Method by Saadia Masood, Muhammad Naeem, Roman Ullah, Saima Mustafa, Abdul Bariq

“…In this study, we implemented a new numerical method known as the Chebyshev Pseudospectral method for solving nonlinear delay differential equations having fractional order. …”
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Measure Functional Differential Equations in the Space of Functions of Bounded Variation by S. M. Afonso, A. Rontó

“…We establish general conditions for the unique solvability of nonlinear measure functional differential equations in terms of properties of suitable linear majorants.…”
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Application of the dynamical damper in a piecewise linear system by Genovaitė Zaksienė

“… The linear dynamical damper of nonlinear system functions better than in linear system. …”
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Steady Three-Dimensional MHD Mixed Convection Couple Stress Flow of Hybrid Nanofluid with Hall and Ion Slip Effect by Ali Rehman, Waris Khan, Ebenezer Bonyah, Samsul Ariffin Abdul Karim, Ahmed Alshehri, Ahmed M. Galal

“…The transform nonlinear ordinary differential equations are solved by an approximate analytical method. …”
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Influence of Abutment Stiffness and Strength on the Seismic Response of Horizontally Curved RC Bridges in Comparison with Equivalent Straight Bridges at Different Seismic Intensity... by Khashayar Heydarpour, Payam Tehrani

“…First, nonlinear static (pushover) analyses are carried out to evaluate the overall behavior of the bridges with different abutment configurations in the two perpendicular principal directions. …”
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Coupled Vibration Behavior of Hot Rolling Mill Rolls under Multinonlinear Effects by Rongrong Peng, Xingzhong Zhang, Peiming Shi

“…A coupled vibration model of hot rolling mill rolls under multiple nonlinear effects is established by considering the nonlinear spring force produced by the hydraulic cylinder, the nonlinear friction between the work rolls, the dynamic variation of rolling force, and the effect of external excitation as well as according to the structural constraints of a four-high hot rolling mill in the vertical and horizontal directions. …”
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Design of Satellite Attitude Control Algorithm Based on the SDRE Method Using Gas Jets and Reaction Wheels by Luiz C. G. de Souza, Victor M. R. Arena

“…The SDRE controller design takes into account the effects of the plant nonlinearities and system noise which represents uncertainty. …”
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L1 Adaptive Fault-Tolerant Attitude Tracking Control of UAV Systems Subject to Faults and Input Saturation by Yan Zhou, Huiying Liu, Huijuan Guo, Yongjian Chen

“…After the conversion and reorganization of such uncertainties including actuator faults, sensor faults, input saturation, and external disturbances, a nonlinear uncertain system model is developed. Second, a L1 neural network adaptive fault-tolerant controller is designed to deal with uncertainties, where radial basis function neural networks (RBFNNs) are applied to approximate the nonlinear function in the system model. …”
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Thermo-Magneto-Solutal Squeezing Flow of Nanofluid between Two Parallel Disks Embedded in a Porous Medium: Effects of Nanoparticle Geometry, Slip and Temperature Jump Conditions by M. G. Sobamowo, A. T. Akinshilo, A. A. Yinusa

“…Similarity variables are used to transform the developed governing systems of nonlinear partial differential equations to systems of nonlinear ordinary differential equations. …”
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Temperature and Stress Evaluation during Three Different Phases of Friction Stir Welding of AA 7075-T651 Alloy by Kareem N. Salloomi, Furat I. Hussein, Sanaa N. M. Al-Sumaidae

“…The current study performs an explicit nonlinear finite element simulation to predict temperature distribution and consequent stresses during the friction stir welding (FSW) of AA 7075-T651 alloy. …”
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Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX by Zhiping Xiong

“…We consider the question of how to take X such that the nonlinear matrix expression X-XAX attains its maximal and minimal possible ranks.…”
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On the number of solutions of some integral equations arising in radiative transfer by Ioannis K. Argyros

“…We discuss the number of solutions of some nonlinear integral equations arising in the theories of radiative transfer, neutron transport and in the kinetic theory of gases.…”
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Application of artificial intelligence brain structure-based paradigm to predict the slip condition impact on magnetized thermal Casson viscoplastic fluid model under combined temp... by Umar Farooq, Shan Ali Khan, Haihu Liu, Muhammad Imran, Lotfi Ben Said, Aleena Ramzan, Taseer Muhammad

“…With the help of a similarity transformation, the complex partial differential equations governing the flow and energy take on the form of nonlinear ordinary differential equations. These resulting nonlinear ordinary differential equations are solved by using the bvp4c solver in MATLAB. …”
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Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials by W. M. Abd-Elhameed

“…The main aim of this research article is to develop two new algorithms for handling linear and nonlinear third-order boundary value problems. For this purpose, a novel operational matrix of derivatives of certain nonsymmetric generalized Jacobi polynomials is established. …”
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Study on Soil Spring Model for Pipe and Silty Clay Interaction Based on Physical Model Test by Liyun Li, Junyan Han, Xiangjian Wang

“…The previous soil spring model cannot describe the nonlinear characteristics of soil in elastic stage, and there are some shortcomings in the selection of soil spring parameters in some published codes. …”
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Partial Control of a Continuous Bioreactor: Application to an Anaerobic System for Heavy Metal Removal by M. I. Neria-González, P. A. López-Pérez, R. Aguilar-López

“…For this aim, regulation of the sulfate concentration, which is considered the measured and controlled state variable, allowed diminishing the cadmium concentration in the bioreactor, where the corresponding controller was designed via nonlinear bounded function. Furthermore, a nonlinear controllability analysis was done, which proved the closed-loop instability of the inner or uncontrolled dynamics of the bioreactor. …”
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