Results 121 to 130 of about 33,455 (264)

The Uniqueness of Solution for a Class of Fractional Order Nonlinear Systems with p-Laplacian Operator

open access: yesAbstract and Applied Analysis, 2014
We are concerned with the uniqueness of solutions for a class of p-Laplacian fractional order nonlinear systems with nonlocal boundary conditions.
Jun-qi He, Xue-li Song
doaj   +1 more source

Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado   +2 more
wiley   +1 more source

A General Framework for the Multiplicity of Positive Solutions to Higher-Order Caputo and Hadamard Fractional Functional Differential Coupled Laplacian Systems

open access: yesFractal and Fractional
This paper applies a general framework to explore the existence of multiple positive solutions for the fractional integral boundary value problem of high-order Caputo and Hadamard fractional coupled Laplacian systems with delayed or advanced arguments ...
Kaihong Zhao, Xiaoxia Zhao, Xiaojun Lv
doaj   +1 more source

Nonexistence results of solutions for some fractional $p$-Laplacian equations in $\mathbb{R}^{N}$

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
In the present paper, we study the nonexistence of nontrivial weak solutions to a class of fractional $p$-Laplacian equation in two cases which are $sp > N$ and $sp < N$.
Yuxin Chen, Haidong Liu
doaj   +1 more source

On the Fractional p-laplacian equations with weight and general datum [PDF]

open access: green, 2016
Boumediene Abdellaoui   +2 more
openalex   +1 more source

On Shape Optimization Theory With Fractional p-Laplacian Operators

open access: yesAbstract and Applied Analysis
The focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where ...
Malick Fall   +3 more
doaj   +1 more source

Mild solutions to Love-type equations on R^2

open access: yesElectronic Journal of Differential Equations
In this article, we study a non-local Love problem on unbounded domains where the non-locality in the main equation is interpreted as a fractional Laplacian operator.
Bui Duc Nam   +2 more
doaj  

Singular critical elliptic problems with fractional Laplacian

open access: yesElectronic Journal of Differential Equations, 2015
In this article, we consider the existence of solutions of the critical problem with a Hardy term for fractional Laplacian $$\displaylines{ (-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr u>0 \quad \text{in }\Omega, \cr
Xueqiao Wang, Jianfu Yang
doaj  

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