New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations by Mohamed S. Al-luhaibi

“…This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger’s equations with fractional time derivative. …”
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Robust Adaptive Fuzzy Control of Chaos in the Permanent Magnet Synchronous Motor by Jinpeng Yu, Junwei Gao, Yumei Ma, Haisheng Yu, Songfeng Pan

“…Fuzzy logic systems are used to approximate unknown nonlinearities, and an adaptive backstepping technique is employed to construct controllers. …”
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Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation by Tetsutaro Shibata

“…We consider the nonlinear eigenvalue problems for the equation , , , , where is a parameter. …”
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Existence Results of Random Impulsive Integrodifferential Inclusions with Time-Varying Delays by Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

“…This study examines the existence of mild solutions for nonlinear random impulsive integrodifferential inclusions with time-varying delays under sufficient conditions. …”
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Three-Dimensional Laplace Adomian Decomposition Method and Singular Pseudoparabolic Equations by Hassan Eltayeb, Diaa Eldin Elgezouli, Adem Kilicman, Imed Bachar

“…In this work, the solution of the linear, nonlinear, and coupled system fractional singular two-dimensional pseudoparabolic equation is examined by using a three-dimensional Laplace Adomian decomposition method (3-DLADM). …”
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Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics by Y. B. Chukkol, M. N. B. Mohamad, Mukhiddin Muminov

“…The method applied can be used in further works to obtain entirely new solutions to many other nonlinear evolution equations.…”
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The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations by Baojun Miao, Xuechen Li

“…By using fractional calculus and the summation by parts formula in this paper, the asymptotic behaviours of solutions of nonlinear neutral fractional delay pantograph equations with continuous arguments are investigated. …”
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Existence and Uniqueness of Solutions for a Fractional Hybrid System with Nonseparated Integral Boundary Hybrid Conditions by M. Hannabou, M. Bouaouid, K. Hilal

“…In this paper, we are going to investigate the existence and uniqueness of solutions of a coupled system of nonlinear fractional hybrid equations with nonseparated type integral boundary hybrid conditions. …”
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Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces by Samir Dashputre, Kavita Sakure

“…Moreover, we provide an application of our results to nonlinear integral equations.…”
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Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations on RN by Yu Duan, Chun-Lei Tang

“…We will show that if the nonlinearities are asymptotically linear at infinity and λ>0 is sufficiently small, the Kirchhoff type equations have at least two positive solutions. …”
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About Stabilization of the Controlled Inverted Pendulum Under Stochastic Perturbations of the Type of Poisson’s Jumps by Leonid Shaikhet

“…It is supposed that stabilized control depends on the entire trajectory of the pendulum. Linear and nonlinear models of the controlled inverted pendulum are considered, and the stability of the zero and nonzero equilibria is studied. …”
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Input-to-State Stability for Dynamical Neural Networks with Time-Varying Delays by Weisong Zhou, Zhichun Yang

“…By employing the Lyapunov-Krasovskii functional method and linear matrix inequalities (LMIs) technique, some new sufficient conditions ensuring the input-to-state stability (ISS) property of the nonlinear network systems are obtained. Finally, numerical examples are provided to illustrate the efficiency of the derived results.…”
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Global stability of equilibria in a tick-borne disease model by Shangbing Ai

“…In this short note we establish global stability results for afour-dimensional nonlinear system that was developed in modeling atick-borne disease by H.D. …”
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Particle Ratios from Strongly Interacting Hadronic Matter by Waseem Bashir, Saeed Uddin, Hamid Nanda

“…We calculate the particle ratios K+/π+, K-/π-, and Λ/π- for a strongly interacting hadronic matter using nonlinear Walecka model (NLWM) in relativistic mean field (RMF) approximation. …”
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Weighted power mean discrete dynamical systems: Fast convergence properties by Francisco J. Solis

“…We studied families of discrete dynamical systems obtained by using iteration functions given by weighted power mean in order to understand the role of hyperrapid convergence in nonlinear maps. Our interest resides in concepts related to the velocity of convergence. …”
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Edge Theoretic Extended Contractions and Their Applications by R. Rajagopalan, Ekta Tamrakar, Fahad. S. Alshammari, H. K. Pathak, Reny George

“…As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.…”
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New Iterative Method: An Application for Solving Fractional Physical Differential Equations by A. A. Hemeda

“…The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. …”
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The Study of the Solution to a Generalized KdV-mKdV Equation by Xiumei Lv, Tengwei Shao, Jiacheng Chen

“…A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV-mKdV equation which possesses high-order nonlinear terms. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton-like solutions, and the triangle function solutions to the equation are obtained.…”
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New Iterative Method Based on Laplace Decomposition Algorithm by Sabir Widatalla, M. Z. Liu

“…We have implemented this method for the solutions of different types of nonlinear pantograph equations to support the proposed analysis.…”
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Cluster Synchronization of Time-Varying Delays Coupled Complex Networks with Nonidentical Dynamical Nodes by Shuguo Wang, Hongxing Yao, Mingping Sun

“…This paper investigates a new cluster synchronization scheme in the nonlinear coupled complex dynamical networks with nonidentical nodes. …”
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