Results 1 to 10 of about 2,778 (162)

Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]

Theoretical and Applied Mechanics, 2021
This is a review article which elaborates the results presented in [1], where the variational principle of Herglotz type with a Lagrangian that depends on fractional derivatives of both real and complex orders is formulated and the invariance of this ...
Janev Marko, Atanacković Teodor M., Pilipović Stevan   +2 more
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An Exterior Algebraic Derivation of the Euler–Lagrange Equations from the Principle of Stationary Action

Mathematics, 2021
In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler–Lagrange equations, by means of the stationary action principle.
Ivano Colombaro, Josep Font-Segura, Alfonso Martinez   +2 more
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Deriving the cosmological constant from the Euler–Lagrange equation of second-order differentiable gravitational field Lagrangian

AIP Advances, 2023
The principles underlying the variational approach prove to be invaluable tools in articulating physical phenomena, particularly when dealing with conserved quantities.
Ashraful Islam
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Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations

Journal of Function Spaces, 2022
The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi, Hossein Moshtagh, Amir Mousivand   +2 more
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B-Spline Solutions of General Euler-Lagrange Equations

Mathematics, 2019
The Euler-Lagrange equations are useful for solving optimization problems in mechanics. In this paper, we study the B-spline solutions of the Euler-Lagrange equations associated with the general functionals.
Lanyin Sun, Chungang Zhu
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The Approximation Solution of Some Calculus of Variation Problems Based Euler-Lagrange Equations [PDF]

Engineering and Technology Journal, 2016
The proposed method transforming some of calculus of variation problems into Euler-Lagrange equations, the simplicity and effectiveness of this illustrated through some ...
Zina Khalil Alabacy
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Differential-integral Euler–Lagrange equations [PDF]

Iranian Journal of Numerical Analysis and Optimization
We study the calculus of variations problem in the presence of a system of differential-integral (D-I) equations. In order to identify the necessary optimality conditions for this problem, we derive the so-called D-I Euler–Lagrange equations.
Mohammedd Shehata
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A new and general fractional Lagrangian approach: A capacitor microphone case study

Results in Physics, 2021
In this study, a new and general fractional formulation is presented to investigate the complex behaviors of a capacitor microphone dynamical system.
A. Jajarmi, D. Baleanu, K. Zarghami Vahid, H. Mohammadi Pirouz, J.H. Asad   +4 more
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SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS

Forum of Mathematics, Sigma, 2018
We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
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Euler-Lagrange optimization of electric drives with DTM method

MATEC Web of Conferences, 2018
Euler-Lagrange optimization method is exploited here to develop energy saving position control strategy valid for a.c. drives. The optimization principle respects copper losses minimization only.
Oršanský Pavol, Ftorek Branislav, Šamajová Helena, Vittek Ján   +3 more
doaj   +1 more source