A Family of Novel Exact Solutions to 2+1-Dimensional KdV Equation by Zhen Wang, Li Zou, Zhi Zong, Hongde Qin

“…We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2+1-dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. …”
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Vibration Suppression Control of a Flexible Gantry Crane System with Varying Rope Length by Tung Lam Nguyen, Trong Hieu Do, Hong Quang Nguyen

“…The equations of motion consist of a system of ordinary and partial differential equations. Lyapunov’s direct method is used to derive the control located at the trolley end that can precisely position the gantry payload and minimize vibrations. …”
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Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales by Mugen Huang, Kunwen Wen

“…As the unification and development of impulsive differential equations and difference equations, impulsive dynamic equations on time scales are a powerful tool to simulate the natural and social phenomena. …”
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Application of Rational Second Kind Chebyshev Functions for System of Integrodifferential Equations on Semi-Infinite Intervals by M. Tavassoli Kajani, S. Vahdati, Zulkifly Abbas, Mohammad Maleki

“…Rational Chebyshev bases and Galerkin method are used to obtain the approximate solution of a system of high-order integro-differential equations on the interval [0,∞). This method is based on replacement of the unknown functions by their truncated series of rational Chebyshev expansion. …”
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Almost Periodic Functions on Time Scales and Applications by Yongkun Li, Chao Wang

“…We first propose the concept of almost periodic time scales and then give the definition of almost periodic functions on almost periodic time scales, then by using the theory of calculus on time scales and some mathematical methods, some basic results about almost periodic differential equations on almost periodic time scales are established. …”
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Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks by Mohammad Mehdi Mazarei, Azim Aminataei

“…This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks. …”
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Design of a Dynamic Simulator for a Biped Robot by Diego A. Bravo M, Carlos F. Rengifo Rodas

“…The intermittent nature of these forces and the mathematical inequalities that they must satisfy lead to models described by hybrid algebraic differential equations. In this paper, a simulator was developed for a seven degrees of freedom planar biped robot, which was modeled using the Euler-Lagrange formulation. …”
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Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source by B. S. Bhadauria

“…An autonomous system of fourth-order differential equations has been deduced by using a truncated Fourier series. …”
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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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Generalized Runge-Kutta Method with respect to the Non-Newtonian Calculus by Uğur Kadak, Muharrem Özlük

“…In this paper, the well-known Runge-Kutta method for ordinary differential equations is developed in the frameworks of non-Newtonian calculus given in generalized form and then tested for different generating functions. …”
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Fuzzy Optimal Control Problem of Several Variables by Altyeb Mohammed Mustafa, Zengtai Gong, Mawia Osman

“…Also, we define fuzzy optimal control problems involving isoperimetric constraints and higher order differential equations. Then, we convert these problems to fuzzy optimal control problems of several variables in order to solve these problems using the same solution method. …”
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On a Perturbed Risk Model with Time-Dependent Claim Sizes by Longfei Wei, Jia Hao, Shiyu Song, Zhenhua Bao

“…We study the Gerber–Shiu functions when ruin is due to a claim or the jump-diffusion process. Integro-differential equations and Laplace transforms satisfied by the Gerber–Shiu functions are obtained. …”
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Weyl-Euler-Lagrange Equations of Motion on Flat Manifold by Zeki Kasap

“…In this study, partial differential equations have been obtained for movement of objects in space and solutions of these equations have been generated by using the symbolic Algebra software. …”
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An improved model of t cell development in the thymus and its stability analysis by Hongjing Shi, Wanbiao Ma

“…By using some classical analysistechniques of functional differential equations, we also consider local and globalasymptotic stability of the equilibrium and the permanence of the model.…”
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A Note on Fractional Sumudu Transform by V. G. Gupta, Bhavna Shrama, Adem Kiliçman

“…We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations.…”
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On the Solutions of Okubo-Type Systems by Galina Filipuk, Alberto Lastra

“…Röscheisen, J. Differential Equations, 2009).…”
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Contrast Expansion Method for Elastic Incompressible Fibrous Composites by Piotr Drygaś, Vladimir Mityushev

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Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives by Mohammed S. Abdo, Sahar Ahmed Idris, M. Daher Albalwi, Tomadir Ahmed Idris

“…In this investigation, we develop a theory for the hybrid boundary value problem for fractional differential equations subject to three-point boundary conditions, including the antiperiodic hybrid boundary condition. …”
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Thermal Radiation and Buoyancy Effects on Heat and Mass Transfer over a Semi-Infinite Stretching Surface with Suction and Blowing by S. Shateyi

“…Appropriate transformations were employed to transform the governing differential equations to nonsimilar form. The transformed equations were solved numerically by an efficient implicit, iterative finite-difference scheme. …”
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Elastic Equilibrium of Porous Cosserat Media with Double Porosity by Roman Janjgava

“…The corresponding three-dimensional system of differential equations is derived. Detailed consideration is given to the case of plane deformation. …”
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