Results 91 to 100 of about 1,534 (136)

Three nontrivial solutions for nonlinear fractional Laplacian equations

Advances in Nonlinear Analysis, 2018
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze, Iannizzotto Antonio   +1 more
doaj   +1 more source

Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we consider the parabolic equations with nonlocal Monge-Ampère operators ∂u∂t(x,t)−Dsθu(x,t)=f(u(x,t)),(x,t)∈R+n×R.\frac{\partial u}{\partial t}\left(x,t)-{D}_{s}^{\theta }u\left(x,t)=f\left(u\left(x,t)),\hspace{1.0em}\left(x,t)\in ...
Du Guangwei, Wang Xinjing
doaj   +1 more source

A fractional order Covid-19 epidemic model with Mittag-Leffler kernel. [PDF]

Chaos Solitons Fractals, 2021
Khan H, Ibrahim M, Abdel-Aty AH, Khashan MM, Khan FA, Khan A.   +5 more
europepmc   +1 more source

Numerical Solution of Two-Dimensional Time Fractional Mobile/Immobile Equation Using Explicit Group Methods. [PDF]

Int J Appl Comput Math, 2022
Salama FM, Ali U, Ali A.
europepmc   +1 more source

An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data. [PDF]

Numer Algorithms, 2023
Zhu BY, Xiao AG, Li XY.
europepmc   +1 more source

A Nonhomogeneous Fractional p-Kirchhoff Type Problem Involving Critical Exponent in ℝN

Advanced Nonlinear Studies, 2017
This paper concerns itself with the nonexistence and multiplicity of solutions for the following fractional Kirchhoff-type problem involving the critical Sobolev exponent:
Xiang Mingqi, Zhang Binlin, Zhang Xia
doaj   +1 more source

A fractional version of Rivière's GL(n)-gauge. [PDF]

Ann Mat Pura Appl, 2022
Da Lio F, Mazowiecka K, Schikorra A.
europepmc   +1 more source

A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer. [PDF]

J Adv Res, 2021
Nikan O, Avazzadeh Z, Machado JAT.
europepmc   +1 more source

Symmetrization for Mixed Operators

Annales Mathematicae Silesianae
In this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–
Bahrouni Sabri
doaj   +1 more source

Ground states for a fractional scalar field problem with critical growth

, 2016
We prove the existence of a ground state solution for the following fractional scalar field equation $(-\Delta)^{s} u= g(u)$ in $\mathbb{R}^{N}$ where $s\in (0,1), N> 2s$,$ (-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}(\mathbb{R ...
Ambrosio, Vincenzo
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