Results 21 to 30 of about 76,666 (170)
Model of System Microgrid in radial Topology using Euler-Lagrange Equation [PDF]
E3S Web of Conferences, 2022 The need of power and equipment that can serve to distribute the electric energy becomes primordial things this period that almost of domains’ specialists work in, and one of this equipment is microgrid system that gain more and more places in not just ...
Nahir Abir, Abelilah Jalid
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An efficient design for solving discrete optimal control problem with time-varying multi-delays [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 The focus of this article is on the study of discrete optimal control problems (DOCPs) governed by time-varying systems, including time-varying delays in control and state variables.
S.M. Abdolkhaleghzade +2 more
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IEEE Access, 2016 This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
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Results in Physics, 2023 According to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler–Lagrange operator, the
Mehdi Jafari +3 more
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Archives of Mechanics, 2011 Nonlocally related systems for the Euler and Lagrange systems of two-dimensional dynamical nonlinear elasticity are constructed. Using the continuity equation, i.e., conservation of mass of the Euler system to represent the density and Eulerian velocity ...
G. Bluman, J.F. Ganghoffer
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Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation
Axioms, 2022 Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control.
Houssine Zine +3 more
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Optimal Dynamical Decoherence Control of a Qubit [PDF]
, 2008 A theory of dynamical control by modulation for optimal decoherence reduction is developed. It is based on the non-Markovian Euler-Lagrange equation for the energy-constrained field that minimizes the average dephasing rate of a qubit for any given ...
Daniel A. Lidar +5 more
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On the variational interpretation of the discrete KP equation [PDF]
, 2015 We study the variational structure of the discrete Kadomtsev-Petviashvili (dKP) equation by means of its pluri-Lagrangian formulation. We consider the dKP equation and its variational formulation on the cubic lattice ${\mathbb Z}^{N}$ as well as on the ...
A Doliwa +6 more
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Numerical solution of fractional Sturm-Liouville equation in integral form [PDF]
, 2014 In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $\alpha \in \left( 0,1 \right]$ in the finite time interval is transformed to the integral form.
Blaszczyk, Tomasz, Ciesielski, Mariusz
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RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem
Mathematics, 2022 In this work, I provide a new rephrasing of Fermat’s Last Theorem, based on an earlier work by Euler on the ternary quadratic forms. Effectively, Fermat’s Last Theorem can be derived from an appropriate use of the concordant forms of Euler and from an ...
Andrea Ossicini
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