Results 111 to 120 of about 101,180 (174)

New Results for p-Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations

Journal of Function Spaces
The p-Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering.
Wangjin Yao, Huiping Zhang
doaj   +1 more source

Null controllability from the exterior of fractional parabolic-elliptic coupled systems

Electronic Journal of Differential Equations, 2020
We analyze the null controllability properties from the exterior of two parabolic-elliptic coupled systems governed by the fractional Laplacian $(-d_x^2)^s$, $s\in(0,1)$, in one space dimension.
Carole Louis-Rose
doaj  

Fractional stochastic heat equation with mixed operator and driven by fractional-type noise

AIMS Mathematics
We investigated a novel stochastic fractional partial differential equation (FPDE) characterized by a mixed operator that integrated the standard Laplacian, the fractional Laplacian, and the gradient operator.
Mounir Zili , Eya Zougar , Mohamed Rhaima   +2 more
doaj   +1 more source

Global solution for wave equation involving the fractional Laplacian with logarithmic nonlinearity

Electronic Research Archive
We construct the global existence for a wave equation involving the fractional Laplacian with a logarithmic nonlinear source by using the Galerkin approximations.
Bidi Younes, Abderrahmane Beniani, Khaled Zennir, Zayd Hajjej, Hongwei Zhang   +4 more
doaj   +1 more source

Bifurcation and multiplicity of solutions for the fractional Laplacian with critical exponential nonlinearity

Electronic Journal of Differential Equations, 2016
We study the fractional elliptic equation $$\displaylines{ (-\Delta)^{1/2} u = \lambda u+|u|^{p-2}ue^{u^2} ,\quad\text{in } (-1,1),\cr u=0\quad\text{in } \mathbb{R}\setminus(-1,1), }$$ where $\lambda$ is a positive real parameter, p>2 and $(-\Delta)^
Pawan Kumar Mishra, Konijeti Sreenadh
doaj  

Existence Results for $\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator

Journal of New Theory
This study delves into the investigation of positive solutions for a specific class of $\aleph$-Caputo fractional boundary value problems with the inclusion of the p-Laplacian operator. In this research, we use the theory of the fixed point theory within
Özlem Batit Özen
doaj   +1 more source

Asymmetric critical fractional p-Laplacian problems

Electronic Journal of Differential Equations, 2017
We consider the asymmetric critical fractional p-Laplacian problem $$\displaylines{ (-\Delta)^s_p u = \lambda |u|^{p-2} u + u^{p^\ast_s - 1}_+,\quad \text{in } \Omega;\cr u = 0, \quad \text{in } \mathbb{R}^N\setminus\Omega; }$$ where $\lambda>0 ...
Li Huang, Yang Yang
doaj  

Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian. [PDF]

J Inequal Appl, 2018
Qu M, Yang L.
europepmc   +1 more source

Existence of solutions for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities

Electronic Journal of Differential Equations, 2019
In this work, we establish the existence of solutions for the nonlinear nonlocal system of equations involving the fractional Laplacian, \begin{gather*} \begin{aligned} (-\Delta)^s u & = au+bv+\frac{2p}{p+q}\int_{\Omega}\frac{|v(y)|^q}{|x-y|^\mu}dy|
Yang Yang, Qian Yu Hong, Xudong Shang
doaj  

Stability of nonlinear Dirichlet BVPs governed by fractional Laplacian. [PDF]

ScientificWorldJournal, 2014
Bors D.
europepmc   +1 more source