Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition by Ge-Feng Yang

“…We study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle, some sufficient conditions of the existence and uniqueness of a nontrivial solution of a system are obtained.…”
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Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications by Mohamed Jleli, Erdal Karapınar, Bessem Samet

“…Moreover, we state some applications of our main results in nonlinear integral equations.…”
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Mathematical modelling of MHD hybrid nanofluid flow in a convergent and divergent channel under variable thermal conductivity effect by Alharbi Abdulaziz H.

“…The aim of this research is to analyse the combined effect of variable thermal conductivity and nonlinear thermal radiation on magnetohydrodynamic (MHD) hybrid nanofluid flow in convergent-divergent channels. …”
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Development of an Impact Energy Absorption Structure by an Arc Shape Stroke Origami Type Hydraulic Damper by Jingchao Guan, Yuan Yao, Wei Zhao, Ichiro Hagiwara, Xilu Zhao

“…A nonlinear dynamics governing equation was established using the derived formula for the damping force of the origami hydraulic damper, and a numerical analysis using the Runge–Kutta method was established. …”
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Novel Fuzzy Neural Nonsingular Terminal Sliding Mode Control of MEMS Gyroscope by Zhe Wang, Juntao Fei

“…Compared with the traditional control method, the proposed strategy can obtain faster dynamic response speed and lower steady-state error with high robustness in the presence of system uncertainties and external disturbances. A nonlinear terminal sliding mode controller is designed to guarantee finite-time high-precision convergence of the sliding surface and meanwhile to eliminate the effect of singularity. …”
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Induced Unbalance as a Method for Improving the Dynamic Stability of High-Speed Turbochargers by R. Gordon Kirk, Ali A. Alsaeed

“…The bearing fluid-film instability is the main source of the vibration. The nonlinear forces inside the bearings are causing the rotor to whirl in a limit cycle. …”
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Generalized functional varying-index coefficient model for dynamic synergistic gene-environment interactions with binary longitudinal traits. by Jingyi Zhang, Honglang Wang, Yuehua Cui

“…This model examines how the genetic effects on a disease trait are nonlinearly influenced by a combination of environmental factors. …”
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Modeling and Dynamical Analysis of the Water Resources Supply-Demand System: A Case Study in Haihe River Basin by Chongli Di, Xiaohua Yang

“…The relationship between water resources supply and demand is very complex and exhibits nonlinear characteristics, which leads to fewer models that can adequately manage the dynamic evolution process of the water resources supply-demand system. …”
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The Effect of Adherence to Dietary Tracking on Weight Loss: Using HLM to Model Weight Loss over Time by John Spencer Ingels, Ranjita Misra, Jonathan Stewart, Brandon Lucke-Wold, Samantha Shawley-Brzoska

“…In addition, the weight loss trend for the rare and inconsistent trackers followed a nonlinear path, with the holidays slowing weight loss and the onset of summer increasing weight loss. …”
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Diagenetic Self-Organization and Stochastic Resonance in a Model of Limestone-Marl Sequences by Ivan L’Heureux

“…The banded sequences are usually thought to result from systematic variations in the external environment, but the pattern may be distorted by diagenetic nonlinear processes. Here, we present a reactive-transport model for the formation of banded patterns in such a system. …”
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A Comparative Study of Seismic Performance Evaluation of Reinforced Concrete Frame Structures Using Chinese and African Seismic Codes by Musaab Suliman, Liang Lu

“…The seismic provisions of these codes are compared and evaluated using nonlinear time-history analysis (NL-THA) and nonlinear static pushover to validate the results. …”
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The Comparison of Lately Proposed Harris Hawks Optimization and Jaya Optimization in Solving Directional Overcurrent Relays Coordination Problem by Jiangtao Yu, Chang-Hwan Kim, Sang-Bong Rhee

“…To test its performances in solving the DOCRs coordination problem, it is adopted in 3-bus, 4-bus, 8-bus, and 9-bus systems, which are formulated by three kinds of optimization models as linear programming (LP), nonlinear programming (NLP), and mixed integer nonlinear programming (MINLP), according to the nature of the design variables. …”
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Model Tests of Earth Pressure on Buried Rigid Pipes and Flexible Pipes underneath Expanded Polystyrene (EPS) by Qiang Ma, Zhun Ku, Henglin Xiao

“…The results show that the earth pressure calculated by nonlinear earth pressure theory is on the brink of that tested in the field. …”
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Adaptive Output Feedback Control for the Trajectory Tracking of High-Speed Trains with Disturbance Uncertainties on the Basis of Neural Network Observers by Yang Liu, Weidong Li

“…The dynamic model of high-speed trains (HSTs) is nonlinear and uncertain; hence, with the decrease in the running interval of HSTs, an accurate and safe train operation control algorithm is required. …”
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Global Well-Posedness and Determining Nodes of Non-Autonomous Navier–Stokes Equations with Infinite Delay on Bounded Domains by Huanzhi Ge, Feng Du

“…The asymptotic behavior of solutions to nonlinear partial differential equations is an important tool for studying their long-term behavior. …”
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On a Memristor-Based Hyperchaotic Circuit in the Context of Nonlocal and Nonsingular Kernel Fractional Operator by Shahram Rezapour, Chernet Tuge Deressa, Sina Etemad

“…Memristor is a nonlinear and memory element that has a future of replacing resistors for nonlinear circuit computation. …”
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Driven Force Induced Bifurcation Delay on the Chaotic Financial System by Balamurali Ramakrishnan, Mohamed Abdalla, Salah Boulaaras, Karthikeyan Rajagopal

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Modification of the Differential Transform Method With Search Direction Along the Spatial Axis by Helena Nayar, Patrick Azere Phiri

“…These include equations such as the nonlinear Fisher, combined KdV-mKdV, Hunter–Saxton (H-S), Fornberg–Whitham (FW), coupled systems such as the Whitham–Broer–Kaup (WBK) and the sine-Gordon (s-G) equations, integral equations, Volterra partial integro-differential equations (PIDE), and linear and nonlinear versions of the (complex) Schröedinger equation. …”
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Computational Simulation and Modeling of Freak Waves Based on Longuet-Higgins Model and Its Electromagnetic Scattering Calculation by Gengkun Wu, Chuanxi Liu, Yongquan Liang

“…In order to solve the weak nonlinear problem in the simulation of strong nonlinear freak waves, an improved phase modulation method is proposed based on the Longuet-Higgins model and the comparative experiments of wave spectrum in this paper. …”
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Generation of Massively Entangled Bright States of Light during Harmonic Generation in Resonant Media by Sili Yi, Nikolai D. Klimkin, Graham Gardiner Brown, Olga Smirnova, Serguei Patchkovskii, Ihar Babushkin, Misha Ivanov

“…In turn, entanglement of the material system with a single harmonic generates and controls entanglement between different harmonics. Hence, nonlinear media that are near resonant with at least one of the harmonics appear to be quite attractive for controlled generation of massively entangled quantum states of light. …”
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