Results 71 to 80 of about 1,557 (138)

Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian

Advanced Nonlinear Studies
In the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua, Han Jiangbo, Xu Runzhang, Yang Chao, Zhang Meina   +4 more
doaj   +1 more source

Existence of Three Positive Solutions for a Nonlocal Singular Dirichlet Boundary Problem

Advanced Nonlinear Studies, 2019
In this article, we prove the existence of at least three positive solutions for the following nonlocal singular problem:
Giacomoni Jacques, Mukherjee Tuhina, Sreenadh Konijeti   +2 more
doaj   +1 more source

On a fractional thin film equation

Advances in Nonlinear Analysis, 2020
This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
doaj   +1 more source

Critical fractional $p$-Laplacian problems with possibly vanishing potentials

, 2015
We obtain nontrivial solutions of a critical fractional $p$-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev ...
Perera, Kanishka, Squassina, Marco, Yang, Yang   +2 more
core   +1 more source

Radial symmetry, monotonicity and Liouville theorem for Marchaud fractional parabolic equations with the nonlocal Bellman operator

Advanced Nonlinear Studies
In this article, we focus on studying space-time fractional parabolic equations with the nonlocal Bellman operator and the Marchaud fractional derivative. To address the difficulty caused by the space-time non-locality of operator ∂tα−Fs ${\partial }_{t}^
Liu Mengru, Zhang Lihong, Wang Guotao
doaj   +1 more source

Fractional Perimeters from a Fractal Perspective

Advanced Nonlinear Studies, 2019
The purpose of this paper consists in a better understanding of the fractional nature of the nonlocal perimeters introduced in [L. Caffarelli, J.-M. Roquejoffre and O. Savin, Nonlocal minimal surfaces, Comm. Pure Appl. Math.
Lombardini Luca
doaj   +1 more source

All functions are (locally) $s$-harmonic (up to a small error) - and applications

, 2017
The classical and the fractional Laplacians exhibit a number of similarities, but also some rather striking, and sometimes surprising, structural differences. A quite important example of these differences is that any function (regardless of its shape)
Annalisa Massaccesi, C Bucur, Claudia Bucur, Eugenio Montefusco, Giulia Carboni, GM Viswanathan, Hiroshi Matano, Jürgen Sprekels, Louis Dupaigne, Luis Caffarelli, Mouhamed Moustapha Fall, N. S. Landkof, Pablo Raúl Stinga, Raffaella Servadei, Richard G Casten, Russell Schwab, S Dipierro, Serena Dipierro, Serena Dipierro, Xavier Ros-Oton   +19 more
core   +1 more source

Solvability of a non-local problem with integral gluing condition for mixed type equation with Erdelyi-Kober operators

, 2017
In this paper the existence and the uniqueness of solution of non-local problem with integral gluing condition for mixed type equation are investigated. Considering loaded parabolichyperbolic equation involve the Caputo fractional derivative and Erdelyi ...
O. Abdullaev
semanticscholar   +1 more source

Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering

Nonlinear Engineering
This study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f.
Youssri Youssri Hassan, Atta Ahmed Gamal, Abu Waar Ziad Yousef, Moustafa Mohamed Orabi   +3 more
doaj   +1 more source

Penalty method for unilateral contact problem with Coulomb's friction in time-fractional derivatives

Demonstratio Mathematica
The purpose of this work is to study a mathematical model that describes a contact between a deformable body and a rigid foundation. A linear viscoelastic Kelvin-Voigt constitutive law with time-fractional derivatives describes the material’s behavior ...
Essafi Lakbir, Bouallala Mustapha
doaj   +1 more source