Some Extensions of Fixed Point Results over Quasi-JS-Spaces by Maha Noorwali, Hamed H. Alsulami, Erdal Karapınar

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Self-Organized Temporal Criticality: Bottom-Up Resilience versus Top-Down Vulnerability by Korosh Mahmoodi, Bruce J. West, Paolo Grigolini

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Characteristics of the Soliton Molecule and Lump Solution in the 2+1-Dimensional Higher-Order Boussinesq Equation by Bo Ren

“…The results in this work may enrich the variety of the dynamics of the high-dimensional nonlinear wave field.…”
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Application of Local Fractional Homotopy Perturbation Method in Physical Problems by Nabard Habibi, Zohre Nouri

“…Nonlinear phenomena have important effects on applied mathematics, physics, and issues related to engineering. …”
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Bifurcation Type Change of AC Electrostatically Actuated MEMS Resonators due to DC Bias by Dumitru I. Caruntu, Kyle N. Taylor

“…This paper investigates the nonlinear response of microelectromechanical system (MEMS) cantilever resonator electrostatically actuated by applying a soft alternating current (AC) voltage and an even softer direct current (DC) voltage between the resonators and a parallel fixed ground plate. …”
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Solitons of the Twin-Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods by Meryem Odabasi Koprulu, Zehra Pinar Izgi

“…The findings would be beneficial to understand physical behaviours in nonlinear optics, particularly twin-core couplers with optical metamaterials.…”
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Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

“…Our results agree with previous results and may help researchers better understand the behavior of nonlinear systems. Furthermore, other fields such as biology, economics, and engineering can apply our results.…”
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Study on the Vector Quadrilateral Isoparametric Shell Element with Shear Deformation by Zhen Wang, Yang Zhao, Zhi Ding, Huiping Tang

“…On this basis, the nonlinear calculation and analysis program of the quadrilateral isoparametric shell element is developed. …”
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Global Existence and Blow-Up of Solutions to a Parabolic Nonlocal Equation Arising in a Theory of Thermal Explosion by Wenyuan Ma, Zhixuan Zhao, Baoqiang Yan

“…First, we prove a comparison principle for some kinds of semilinear parabolic equations under nonlinear boundary conditions; using it, we show a new theorem of subsupersolutions. …”
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The Nonsequential Fusion Method for Localization from Unscented Kalman Filter by Multistation Array Buoys by Gou Yanni, Wang Qi

“…Based on special features of array buoy and the research field of location and tracking of underwater target, the research combines the highly adaptive nonlinear filtering algorithm unscented Kalman filter with the nonlinear programming of multistation array buoy positioning system. …”
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Positive Position Feedback Control for High-Amplitude Vibration of a Flexible Beam to a Principal Resonance Excitation by Li Jun

“…The perturbation method of multiple scales is employed to find the general nonlinear response of the system and four first-order differential equations governing the amplitudes and phases of the responses are derived. …”
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Robust Integrated Guidance and Control Design for Angle Penetration Attack of Multimissiles by Huan Zhou, Xin Zhao

“…In order to ensure the robustness of the system, nonlinear disturbance observers are introduced to estimate the uncertainty of the system model. …”
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Modeling of mechanical behavior of cork in compression by Youns Saadallah

“…Test-model comparisons reveal little relevance of the results given by the trilinear model whereas a very good consistency is observed for the results given by the nonlinear model.…”
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Abundant Symmetry-Breaking Solutions of the Nonlocal Alice–Bob Benjamin–Ono System by Wang Shen, Zheng-Yi Ma, Jin-Xi Fei, Quan-Yong Zhu, Jun-Chao Chen

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Solving Fractional Difference Equations Using the Laplace Transform Method by Li Xiao-yan, Jiang Wei

“…On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.…”
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The prognostic value of the platelet-to-lymphocyte ratio in multiple myeloma patients treated with a bortezomib-based regimen by Quane Zhang, Yifan Wang, Wenting Shi, Yue Chen, Zhengmei He, Liang Yu, Chunling Wang

“…The RCS curves further confirmed a significant nonlinear relationship between the PLR and OS in patients with MM. …”
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The non-Fourier–Fick’s heat and mass flux effect in a bioconvective nanofluid flow over a stretching cylinder with suction/injection and convective conditions by Endale Ersino Bafe, Mitiku Daba Firdi, Lemi Guta Enyadene

“…The governing equations are transformed into nonlinear ODEs and solved using a spectral local linearization method. …”
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A new solitary wave solution of the fractional phenomena Bogoyavlenskii equation via Bäcklund transformation by Yousef Jawarneh, Humaira Yasmin, Ali M. Mahnashi

“…In this paper, we use the Riccati–Bernoulli sub-ODE method in conjunction with the Bäcklund transformation to find out the exact solutions of the nonlinear time–space fractional Bogoyavlenskii equation. …”
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High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws by Jia Guo, Huajun Zhu, Zhen-Guo Yan, Lingyan Tang, Songhe Song

“…Then, WCNS (weighted compact nonlinear scheme) is adopted to capture shocks in these areas, while the smooth area is calculated by CPR. …”
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Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems by D. Baleanu, A. H. Bhrawy, T. M. Taha

“…The generalized Laguerre pseudo-spectral approximation based on the generalized Laguerre operational matrix is investigated to reduce the nonlinear multiterm FDEs and its initial conditions to nonlinear algebraic system, thus greatly simplifying the problem. …”
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