Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations by Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, Hana Al-Hutami

“…Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. …”
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Output Feedback Control for Asymptotic Stabilization of Spacecraft with Input Saturation by Chutiphon Pukdeboon

“…Asymptotic stability is proven by Lyapunov stability theory. Moreover, a new nonlinear disturbance observer is designed to compensate for external disturbances. …”
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Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media by Linlin Tan, Bianru Cheng

“…We establish the existence of global strong solutions for the system in both linear and nonlinear cases where porosity depends on pressure. …”
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Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays by S. Udpin, P. Niamsup

“…Based on a discrete-type inequality, a new global stability condition for nonlinear difference equation is derived. We consider nonlinear discrete systems with time-varying delays and independence of delay time. …”
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Postural stability measures as diagnostic tools for chronic ankle instability: a comprehensive assessment by Makan Piri, Kazem Malmir, Khadijeh Otadi, Azadeh Shadmehr

“…This study evaluates the diagnostic utility of various linear and nonlinear postural stability measures in distinguishing individuals with CAI from healthy controls. …”
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A Semianalytical Production Prediction Model and Dynamics Performance Analysis for Shale Gas Wells by Yingying Xu, Xiangui Liu, Zhiming Hu, Xianggang Duan, Jin Chang

“…The shale gas productivity model based on shale gas nonlinear seepage mechanism is an effective way to reasonably predict productivity. …”
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Stabilization Using a Discrete Fuzzy PDC Control with PID Controllers and Pole Placement: Application to an Experimental Greenhouse by Amine Chouchaine, Elyes Feki, Abdelkader Mami

“…This paper proposes a control strategy for complex and nonlinear systems, based on a parallel distributed compensation (PDC) controller. …”
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Optimal New Sliding Mode Controller Combined with Modified Supertwisting Algorithm for a Perturbed Quadrotor UAV by Yassine El Houm, Ahmed Abbou, Moussa Labbadi, Mohamed Cherkaoui

“…This paper deals with the design of a novel modified supertwisting fast nonlinear sliding mode controller (MSTFNSMC) to stabilize a quadrotor system under time-varying disturbances. …”
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Driver’s Anticipation and Memory Driving Car-Following Model by Ammar Jafaripournimchahi, Lu Sun, Wusheng Hu

“…The changes of headway, relative velocity, and driver memory to the vehicle in front are introduced as factors of driver’s anticipation behavior. Linear and nonlinear stability analyses are both applied to study the linear and nonlinear stability conditions of the new model. …”
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Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System by Li Ding, Shangshang Cheng, Kaifei Zhang, Jiajun Chai, He Li, Chengdong Niu, Chao Cao

“…In this paper, the hinge in the articulated structure is studied, the gap hinge is described as a nonlinear bilateral constraint, and the equivalent modeling and analysis of the hinge connection collision vibration are carried out based on the Lankarani–Nikravesh nonlinear contact force model. …”
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On the Ulam stability and existence of $ L^p $-solutions for fractional differential and integro-differential equations with Caputo-Hadamard derivative by Abduljawad Anwar, Shayma Adil Murad

“…In this paper, we investigate the existence and uniqueness of $ L^p $-solutions for nonlinear fractional differential and integro-differential equations with boundary conditions using the Caputo-Hadamard derivative. …”
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Effective Method for Analysis of Electrothermally Coupled Fields by Jacek Korytkowski, Stanisław Wincenciak

“…An effective method is presented for solving a nonlinear system of partial differential equations that describe the time-dependent electrothermally coupled fields for passage of constant electric current in a three-dimensional conductive medium. …”
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Kink Solutions for a Class of Generalized Dissipative Equations by Marianna Ruggieri

“…Many physically important nonlinear PDEs can be reduced to nonlinear ODEs by means of reduction techniques. …”
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A mathematical model of a nuclear reactor with delay depending on the power of the reactor by Kostas Bučys, Rasa Grigolienė, Jolanta Janutėnienė, Donatas Švitra

“…The nonlinear analysis of the model was done with the help of the theory of bifurcations. …”
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Solvability of the Brinkman-Forchheimer-Darcy Equation by Piotr Skrzypacz, Dongming Wei

“…The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. …”
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Higher-Order Dynamic Delay Differential Equations on Time Scales by Hua Su, Lishan Liu, Xinjun Wang

“…We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. …”
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Control of Magnetic Manipulator Using Reinforcement Learning Based on Incrementally Adapted Local Linear Models by Martin Brablc, Jan Žegklitz, Robert Grepl, Robert Babuška

“…Reinforcement learning (RL) agents can learn to control a nonlinear system without using a model of the system. …”
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Mechanical Constitutive and Seepage Theoretical Model of Water Storage Media Based on Fractional Derivative by Lujun Wang, Yang Wu, Xiaoqian Zhu, Peng Li, Zhiguo Cao, Huan Yang

“…The fractional non-Darcy model rather than the Forchheimer equation can more accurately describe the nonlinear seepage process in water storage media.…”
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Optimization of distribution risk of hazardous materials in the production routing problem by Amin Farahbakhsh, Amirsaman Kheirkhah

“…Given that solving the mathematical model with the nonlinear objective function is more difficult, this function is approximated by a piecewise linear function.Findings: In this research, 8 standard instances have been used to evaluate and solve the model and compare the two nonlinear and linear models. …”
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Optimization of Data Distributed Network System under Uncertainty by Laxminarayan Sahoo, Supriyan Sen, Kalishankar Tiwary, Sovan Samanta, Tapan Senapati

“…Constrained optimization is a computationally challenging job whenever the constraints/limitations are nonlinear and nonconvex. Furthermore, nonlinear programming methods can easily deal same optimization problem if somehow the constraints are nonlinear and convex. …”
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