Results 41 to 50 of about 76,666 (170)

Time-Fractional KdV Equation: Formulation and Solution using Variational Methods

, 2011
In this work, the semi-inverse method has been used to derive the Lagrangian of the Korteweg-de Vries (KdV) equation. Then, the time operator of the Lagrangian of the KdV equation has been transformed into fractional domain in terms of the left-Riemann ...
A. A. Mahmoud, A. Babakhani, A.A. Kilbas, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, D. Delbosco, D.J. Korteweg, E. M. Abulwafa, E.M. Rabei, F. Riewe, F. Riewe, G.S.F. Frederico, H. Bateman, I. Podlubny, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.A. Tenreiro Machado, M. A. Zahran, M. Attari, M. Inokuti, M.A.E. Herzallah, M.K. Fung, M.S. Tavazoei, N. Heymans, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, R.V. Mendes, R.Y. Molliq, S. A. El-Wakil, S. Momani, S. Saha Ray, S.G. Samko, S.I. Muslih, S.Q. Zhang, V.E. Tarasov, V.E. Tarasov, Y. Luchko   +43 more
core   +1 more source

Euler-Lagrange equation for a delay variational problem

Nonautonomous Dynamical Systems, 2017
We establish Euler-Lagrange equations for a problem of Calculus of Variations where the unknown variable contains a term of delay on a ...
Blot Joël, Koné Mamadou I.
doaj   +1 more source

Passive Shape‐Adaptive Fluidic Interface for Enhanced Skin‐Sensor Coupling in Wearable Devices

Advanced Materials Technologies, EarlyView.
This study presents a passive fluidic interface for wearable biosensors that adapts to static and dynamic body shape changes to maintain consistent skin contact. Flexible, fluid‐filled pouches redistribute pressure from high‐load areas to regions requiring improved contact, enhancing signal quality and comfort in a compact, low‐energy design for ...
Natalia Sanchez‐Tamayo, Andrew Akerson, Ehsan Hajiesmaili, Tianshu Liu, Ryan Stull, Jonathan Stewart, Amirhossein Amini   +6 more
wiley   +1 more source

Approximate Euler-Lagrange Quadratic Mappings in Fuzzy Banach Spaces

Abstract and Applied Analysis, 2013
We consider general solution and the generalized Hyers-Ulam stability of an Euler-Lagrange quadratic functional equation in fuzzy Banach spaces, where , are nonzero rational numbers with , .
Hark-Mahn Kim, Juri Lee
doaj   +1 more source

Model Formulation Over Lie Groups and Numerical Methods to Simulate the Motion of Gyrostats and Quadrotors

Mathematics, 2019
The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
doaj   +1 more source

Cooperative Target Tracking by Multiagent Camera Sensor Networks via Gaussian Process

IEEE Access, 2022
In this paper, we present learning-based robust cooperative control for camera sensor networks. The dynamics of each camera agent with the pan and tilt mechanism is modeled by the Euler-Lagrange equation.
Takashi Adachi, Naoki Hayashi, Shigemasa Takai   +2 more
doaj   +1 more source

Euler equation of the optimal trajectory for the fastest magnetization reversal of nano-magnetic structures

, 2007
Based on the modified Landau-Lifshitz-Gilbert equation for an arbitrary Stoner particle under an external magnetic field and a spin-polarized electric current, differential equations for the optimal reversal trajectory, along which the magnetization ...
C. He, Hillebrands B., J. Lu, P. Yan, X. R. Wang   +4 more
core   +1 more source

Multiobjective Codesign Optimization of a Planar Pneumatic Artificial Muscle‐Based Snake‐Like Robot for Enhanced Agility and Energy Efficiency

Advanced Robotics Research, EarlyView.
A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley   +1 more source

Solving the geodesics on the ellipsoid as a boundary value problem

Journal of Geodetic Science, 2013
The geodesic between two given points on an ellipsoid is determined as a numerical solution of a boundary value problem. The secondorder ordinary differential equation of the geodesic is formulated by means of the Euler-Lagrange equation of the calculus ...
Panou G., Delikaraoglou D., Korakitis R.
doaj   +1 more source

Direct and Inverse Variational Problems on Time Scales: A Survey

, 2016
We deal with direct and inverse problems of the calculus of variations on arbitrary time scales. Firstly, using the Euler-Lagrange equation and the strengthened Legendre condition, we give a general form for a variational functional to attain a local ...
AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, B Brunt van, CD Ahlbrandt, D Crăciun, DFM Torres, DFM Torres, DJ Saunders, DR Davis, E Girejko, E Girejko, E Merrell, FM Atici, FM Atici, FM Atici, ID Albu, IV Orlov, IV Orlov, J Douglas, L Bourdin, M Bohner, M Bohner, M Bohner, M Dryl, M Dryl, M Dryl, M Dryl, MC Caputo, MJ Bohner, MR Segi Rahmat, N Martins, N Martins, N Martins, N Martins, NRO Bastos, PE Hydon, R Almeida, R Almeida, R Hilscher, RAC Ferreira, S Hilger, S Hilger, T Ernst, T Odzijewicz, V Kac, V Lakshmikantham, Z Bartosiewicz   +50 more
core   +1 more source