The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations by Maosheng Tian, Xuejing Meng, Jihong Chen, Xiaoqi Tang

“…Methods and techniques developed here have the potential to be applied in other unbounded delay stochastic differential equations.…”
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Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow by Yang Li, Long-Fei Wang, Sheng-Da Zeng, Yang Zhao

“…We discuss the line partial differential equations arising in fractal vehicular traffic flow. …”
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Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers by Xiaoyu Jiang, Kicheon Hong

“…Circulant matrix family is used for modeling many problems arising in solving various differential equations. The RSFPLR circulant matrices and RSLPFL circulant matrices are two special circulant matrices. …”
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The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes by Yuzhu Xiao, Sufang Tang, Zhongkui Sun

“…Based on the theory of stochastic differential equations, we demonstrate that noise plays a positive role in complete synchronization. …”
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New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations by Mohamed S. Al-luhaibi

“…Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations.…”
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Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates by Ya-Juan Hao, H. M. Srivastava, Hossein Jafari, Xiao-Jun Yang

“…The Cantor-type cylindrical-coordinate method is applied to handle the corresponding local fractional differential equations. Two illustrative examples for the Helmholtz and diffusion equations on the Cantor sets are shown by making use of the Cantorian and Cantor-type cylindrical coordinates.…”
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Computable error bounds for collocation methods by A. H. Ahmed

“…This paper deals with error bounds for numerical solutions of linear ordinary differential equations by global or piecewise polynomial collocation methods which are based on consideration of the involved differential operator, related matrices and the residual. …”
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Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition Method by Fei Wu, Lan-Lan Huang

“…In this paper, it was used to solve some fractional nonlinear differential equations.…”
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Numerical Method for a Markov-Modulated Risk Model with Two-Sided Jumps by Hua Dong, Xianghua Zhao

“…We first derive a system of differential equations for the Gerber-Shiu function. Furthermore, a numerical result is given based on Chebyshev polynomial approximation. …”
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Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions by Jiqiang Jiang, Lishan Liu, Yonghong Wu

“…This paper investigates the existence of positive solutions for a class of singular p-Laplacian fourth-order differential equations with integral boundary conditions. …”
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Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions by Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos, Kostas G. Arvanitis

“…In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. …”
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Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method by Sara H. M. Hamed, Eltayeb A. Yousif, Arbab I. Arbab

“…The results show that the method is effective and convenient for solving nonlinear differential equations of fractional order.…”
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In Search of Chaos in Genetic Systems by Felix Sadyrbaev, Olga Kozlovska

“…A three-dimensional multiparametric system of ordinary differential equations, arising in the theory of genetic networks, is considered. …”
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On the existence of classical solutions for differential-functional IBVP by Krzysztof A. Topolski

“…Our formulation and results cover a large class of parabolic problems both with a deviated argument and integro-differential equations.…”
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Substantiation of asymptotical solution of weakly nonlinear hyperbolic system by Aleksandras Krylovas

“… A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. …”
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An Iterative Method for Time-Fractional Swift-Hohenberg Equation by Wenjin Li, Yanni Pang

“…Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and simple in constructing approximate solutions to Cauchy problems of time-fractional differential equations.…”
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The Effects of Activation Energy and Thermophoretic Diffusion of Nanoparticles on Steady Micropolar Fluid along with Brownian Motion by Zulqurnain Sabir, Assad Ayub, Juan L. G. Guirao, Saira Bhatti, Syed Zahir Hussain Shah

“…The nonlinear partial differential equations are converted into nonlinear ordinary differential equations, and a famous shooting scheme is used to present the numerical solutions. …”
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Mathematical modeling of velocity and accelerations fields of image motion in the optical equipment of the Earth remote sensing satellite by S. Yu. Gorchakov

“…For modeling the orbital and angular motion of the satellite, differential equations with numerical integration were used. …”
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Analytical Investigation of Laminar Viscoelastic Fluid Flow over a Wedge in the Presence of Buoyancy Force Effects by B. Rostami, M. M. Rashidi, P. Rostami, E. Momoniat, N. Freidoonimehr

“…The two-dimensional boundary-layer governing partial differential equations (PDEs) are derived by the consideration of Boussinesq approximation. …”
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Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment by Xue-Qin Li, Guang-Chen Bai, Lu-Kai Song, Wei Zhang

“…By employing the Galerkin discretization procedure, the partial differential equations are diverted to a set of coupled nonlinear ordinary differential equations of motion. …”
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