Results 51 to 60 of about 3,059 (201)

Legendre–Clebsch Condition for Functional Involving Fractional Derivatives with a General Analytic Kernel

Fractal and Fractional
Fractional calculus of variations for a broad class of fractional operators with a general analytic kernel function is considered. Using techniques from variational analysis, we derive first- and second-order necessary optimality conditions, namely the ...
Faïçal Ndaïrou
doaj   +1 more source

Extending Battery Usage Time of a Heavy‐Duty Mecanum‐Wheeled Autonomous Electric Vehicle Used in Iron–Steel Industry by Considering Wheel Slippage

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
It is a fact that slippage causes tracking errors in both longitudinal and lateral directions which results to have less travel distance in tracking a reference trajectory. Less travel distance means having energy loss of the battery and carrying loads less than planned.
Gokhan Bayar, Goktug Hambarci, Ali Sezai Demirel   +2 more
wiley   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces

International Journal of Analysis and Applications, 2018
In this paper, we prove the Hyers-Ulam Stability of Euler-Lagrange-Jensen’s (a,b)-Sextic Functional Equation in Multi-Banach Spaces.
John Michael Rassias, R. Murali, A. Antony Raj   +2 more
doaj   +2 more sources

Nonsilting transport characteristics of coal slurry in a deep underground fluidization conveying pipeline under the action of a guide vane swirler

Deep Underground Science and Engineering, EarlyView.
Aiming at the scientific frontiers of in situ fluidized mining of deep resources, a deep coal fluidized pipeline lifting system based on hydraulic conveying has been proposed. To solve the issue of particle sedimentation of large particles in horizontal connection sections, a solution involving the installation of guide vane‐type swirlers in the ...
Jiusheng Bao, Shaodi Zhao, Yan Yin, Zhongbin Wang, Shuai Liu, Shirong Ge   +5 more
wiley   +1 more source

New Applications of a Kind of Infinitesimal-Operator Lie Algebra

Advances in Mathematical Physics, 2016
Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism.
Honwah Tam, Yufeng Zhang, Xiangzhi Zhang
doaj   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Euler-Lagrange Equations

, 2016
In this chapter Euler-Lagrange equations and the boundary conditions for a given Functional with only one independent variable with second order derivatives are derived. A general approach for solving one dimensional structures follows next. Euler-Lagrange equation leading to optimization is explained next by considering Brachistochrone problem.
openaire   +2 more sources

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

General Variational Formulation of Axisymmetric Capillary Bridges: Modeling Contact Angle Hysteresis and Capillary Forces

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet, Antoine Moreau, Antoine Logerot, Marc Médale   +3 more
wiley   +1 more source