Results 61 to 70 of about 369,300 (196)
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Park, Kwang-Chun +2 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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Nonlinear deformation and stability of geometrically exact elastic arches
In the present paper a plane round double-hinged arch under the potential dead load is investigated. To describe the stress-strain state and the equilibrium stability the geometrically exact theory is used. According to this theory every point of the bar
Vladimir Lalin +2 more
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LAGRANGE-HAMILTON MODEL FOR CONTROL AFFINE SYSTEMS WITH POSITIVE HOMOGENEOUS COST [PDF]
In this paper we give a new technique to obtain the Hamiltonian function in order to solve the driftless control affine systems (distributional systems) with positive homogeneous costs.
Liviu Popescu
core
Recently, non-standard Lagrangians have gained a growing importance in theoretical physics and in the theory of non-linear differential equations. However, their formulations and implications in general relativity are still in their infancies despite ...
Rami Ahmad El-Nabulsi
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A Lagrange multiplier formulation for the fully dynamic Navier–Stokes–Biot system
Abstract We study a mathematical model of fluid–poroelastic structure interaction and its numerical solution. The free fluid region is governed by the unsteady incompressible Navier–Stokes equations, while the poroelastic region is modelled by the Biot system of poroelasticity.
Xing Wang, Ivan Yotov
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Impulse formulations of Hall magnetohydrodynamic equations
Impulse formulations of Hall magnetohydrodynamic (MHD) equations are developed. The Lagrange invariance of a generalized ion magnetic helicity, is established for Hall MHD. The physical implications of this Lagrange invariant are discussed.
core +1 more source
Fractional-order analysis of nonlinear oscillations in a time-dependent mass pendulum
This work investigates the dynamic behavior of a fundamental oscillatory system in which the mass decreases continuously with time. The analysis begins with the derivation of the classical formulation based on the Lagrangian approach, leading to the ...
Yazen M. Alawaideh +6 more
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This study investigates the qualitative behavior of mechanical oscillator equations with impulsive effects using the generalized Power Caputo fractional operator, encompassing several known derivatives (such as Caputo–Fabrizio and Atangana–Baleanu) as ...
Hicham Saber +5 more
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Learning Solutions for Electromagnetic Problems Using RBF Network-Based FE-LSSVM
Solutions to most electromagnetic problems use numerical methods, such as the finite element method (FEM), element free method (EFM), and soft computing method.
Xiaoming Han +5 more
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