Results 91 to 100 of about 76,666 (170)

Solution of the KdV equation with fractional time derivative via variational method

Electronic Journal of Differential Equations, 2014
This article presents a formulation of the time-fractional generalized Korteweg-de Vries (KdV) equation using the Euler-Lagrange variational technique in the Riemann-Liouville derivative sense. It finds an approximate solitary wave solution, and shows
Youwei Zhang
doaj  

Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p‐Kirchhoff Equation

Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.
ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa, Romulo Diaz Carlos, El‐Houari Hamza   +2 more
wiley   +1 more source

Hump‐Shaped Enhancement of Coarse‐Grain Transport in Sediment Mixtures Induced by Fine Grains of Different Sizes

Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.
Abstract Bedload transport of sediment mixtures is fundamental to river morphology and impacts aquatic ecology. Adding fine grains enhances coarse‐grain transport, yet controlling mechanisms remain elusive. Employing discrete element simulations, we examine how fine‐grain size and proportion influence coarse‐grain flux.
Yu Zhang, Zheng Gong, Hongbo Ma, Lu Jing, Xudong Fu   +4 more
wiley   +1 more source

Optimizing Variational Problems through Weighted Fractional Derivatives

Fractal and Fractional
In this article, we explore a variety of problems within the domain of calculus of variations, specifically in the context of fractional calculus. The fractional derivative we consider incorporates the notion of weighted fractional derivatives along with
Ricardo Almeida
doaj   +1 more source

Global solutions to a one-dimensional nonlinear wave equation derivable from a variational principle

Electronic Journal of Differential Equations, 2017
This article focuses on a one-dimensional nonlinear wave equation which is the Euler-Lagrange equation of a variational principle whose Lagrangian density involves linear terms and zero term as well as quadratic terms in derivatives of the field.
Yanbo Hu, Guodong Wang
doaj  

Fractional Calculus of Variations for Composed Functionals with Generalized Derivatives

Fractal and Fractional
This paper extends the fractional calculus of variations to include generalized fractional derivatives with dependence on a given kernel, encompassing a wide range of fractional operators.
Ricardo Almeida
doaj   +1 more source

The nonlocal bistable equation: Stationary solutions on a bounded interval

Electronic Journal of Differential Equations, 2002
We discuss instability and existence issues for the nonlocal bistable equation. This model arises as the Euler-Lagrange equation of a nonlocal, van der Waals type functional.
Adam J. J. Chmaj, Xiaofeng Ren
doaj  

Kinematic modeling and simulation of dual-sided shaper machine using Newton-Euler and Lagrangian approaches. [PDF]

Sci Rep
Gutata GR, Kebede GA, Abbera GH.
europepmc   +1 more source

Lagrangian multiforms and dispersionless integrable systems. [PDF]

Lett Math Phys
Ferapontov EV, Vermeeren M.
europepmc   +1 more source

Fast Numerical Solvers for Parameter Identification Problems in Mathematical Biology. [PDF]

J Sci Comput
Benková K, Pearson JW, Ptashnyk M.
europepmc   +1 more source