Z-Control on COVID-19-Exposed Patients in Quarantine by Nita H. Shah, Nisha Sheoran, Ekta Jayswal

“…In this paper, a mathematical model for diabetic or hypertensive patients exposed to COVID-19 is formulated along with a set of first-order nonlinear differential equations. The system is said to exhibit two equilibria, namely, exposure-free and endemic points. …”
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A singularly perturbed SIS model with age structure by Jacek Banasiak, Eddy Kimba Phongi, MirosŁaw Lachowicz

“…Using the Tikhonov theorem we prove that for certain classes of initial conditions the nonlinear structured SIS model can be approximated with very good accuracy by lower dimensional linear models.…”
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Observer-Based Fuzzy Control for Memristive Circuit Systems by Qian Ye, Xuyang Lou

“…First, the Takagi-Sugeno fuzzy model is adopted to reconstruct the nonlinear chaotic circuit system. Next, based on the proposed fuzzy model, an observer-based fuzzy controller is developed to estimate the states and stabilize the origin. …”
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Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions by Min Li, Jian-Ping Sun, Ya-Hong Zhao

“…In this paper, we consider a class of boundary value problems of nonlinear fractional differential equation with integral boundary conditions. …”
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Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces by H. Zegeye, N. Shahzad

“…Our theorems complement some recent results that have been proved for this important class of nonlinear mappings.…”
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Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator by Saleh Alshammari, Naveed Iqbal, Mohammad Yar

“…Compared to other methods of finding approximate and exact solutions for nonlinear partial differential equations, this technique is more efficient and time-consuming.…”
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Basic stage structure measure valued evolutionary game model by John Cleveland

“…Similar to [12] we also have the unifying of discrete and continuous systems and the containment of the classic nonlinearities.…”
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Adaptation of Differential Transform Method for the Numeric-Analytic Solution of Fractional-Order Rössler Chaotic and Hyperchaotic Systems by Asad Freihat, Shaher Momani

“…The algorithm described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.…”
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An Entropy Model of Credit Risk Contagion in the CRT Market by Tingqiang Chen, Ying Chen, Xindan Li, Jining Wang

“…Thus, an entropy spatial model is introduced, in which the spatial distance and nonlinear coupling between the banks and the investors, the transfer ability of credit risk of banks, and investor appetite for risk in the CRT network are considered. …”
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A New Ridge-Type Estimator for the Linear Regression Model: Simulations and Applications by B. M. Golam Kibria, Adewale F. Lukman

“…The ridge regression-type (Hoerl and Kennard, 1970) and Liu-type (Liu, 1993) estimators are consistently attractive shrinkage methods to reduce the effects of multicollinearity for both linear and nonlinear regression models. This paper proposes a new estimator to solve the multicollinearity problem for the linear regression model. …”
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Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems by Chenhui Wang

“…Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. …”
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A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions by Fouad Fredj, Hadda Hammouche, Mohammed S. Abdo, Wedad Albalawi, Abdulrazak H. Almaliki

“…Besides, the Ulam–Hyers stability for the proposed problem is investigated by applying the techniques of nonlinear functional analysis. In the end, we provide an example to illustrate the applicability of our results.…”
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Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method by S. Zuhra, S. Islam, M. Idrees, Rashid Nawaz, I. A. Shah, H. Ullah

“…In this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems. …”
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The Solvability of Fourth-Order Differential Equations under Almost Hardy–Rogers ψ,ϕ-Type Multivalued Contractions in M℘-Metric Space by Mustafa Mudhesh, Muhammad Arshad, Aftab Hussain, Amer Hassan Albargi, Eskandar Ameer

“…Finally, we utilize the obtained results to scrutinize the existence of solutions for nonlinear fourth-order differential equations (NFODEs).…”
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Neural Network Predictive Control for Autonomous Underwater Vehicle with Input Delay by Jiemei Zhao

“…An NN is used to estimate the nonlinear uncertainty of AUV induced by hydrodynamic coefficients and the coupling of the surge, sway, and yaw angular velocity. …”
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Discrete Maximum Principle and Energy Stability of the Compact Difference Scheme for Two-Dimensional Allen-Cahn Equation by Yu Bo, Dan Tian, Xiao Liu, Yuanfeng Jin

“…The compact difference method will be used to numerically approximate the two-dimensional nonlinear Allen-Cahn equation with initial and boundary value conditions, and then, a fully discrete compact difference scheme with second-order accuracy in time and fourth-order in space is established. …”
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Parameters identification for a model of T cell homeostasis by Houssein Ayoub, Bedreddine Ainseba, Michel Langlais, Rodolphe Thiébaut

“…In this study, we consider a model of T cell homeostasis based on the Smith-Martin model. This nonlinear model is structured by age and CD44 expression. …”
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Propagation of Water Waves over Uneven Bottom under the Effect of Surface Tension by Juan Carlos Muñoz Grajales

“…We establish existence and uniqueness of solutions to the Cauchy problem associated with a new one-dimensional weakly-nonlinear, weakly-dispersive system which arises as an asymptotical approximation of the full potential theory equations for modelling propagation of small amplitude water waves on the surface of a shallow channel with variable depth, taking into account the effect of surface tension. …”
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Characterization of Lipschitz Spaces via Commutators of Fractional Maximal Function on the $p$-Adic Variable Exponent Lebesgue Spaces by Wu, Jianglong, Chang, Yunpeng

“…In this paper, the main aim is to give some characterizations of the boundedness of the maximal or nonlinear commutator of the $p$-adic fractional maximal operator $ \mathcal{M}_{\alpha }^{p}$ with the symbols belong to the $p$-adic Lipschitz spaces in the context of the $p$-adic version of variable Lebesgue spaces, by which some new characterizations of the Lipschitz spaces and nonnegative Lipschitz functions are obtained in the $p$-adic field context. …”
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Analysis of Random Difference Equations Using the Differential Transformation Method by Şeyma Şişman, Mehmet Merdan

“…The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. …”
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