Results 91 to 100 of about 2,548 (123)

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

Harnack's Inequality for Parabolic Nonlocal Equations [PDF]

arXiv, 2018
The main result of this paper is a nonlocal version of Harnack's inequality for a class of parabolic nonlocal equations. We additionally establish a weak Harnack inequality as well as local boundedness of solutions. None of the results require the solution to be globally positive.
arxiv  

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
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

On the paper "All functions are locally s-harmonic up to a small error" by Dipierro, Savin, and Valdinoci [PDF]

arXiv, 2018
We give an appropriate version of the result in the paper by Dipierro, Savin, and Valdinoci for different, not necessarily fractional, powers of the Laplacian.
arxiv  

Sliding methods for dual fractional nonlinear divergence type parabolic equations and the Gibbons’ conjecture

Advanced Nonlinear Studies
In this paper, we consider the general dual fractional parabolic problem ∂tαu(x,t)+Lu(x,t)=f(t,u(x,t))inRn×R. ${\partial }_{t}^{\alpha }u\left(x,t\right)+\mathcal{L}u\left(x,t\right)=f\left(t,u\left(x,t\right)\right) \text{in} {\mathbb{R}}^{n}{\times ...
Guo Yahong, Ma Lingwei, Zhang Zhenqiu
doaj   +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

Stationary dense operators in sequentially complete locally convex spaces

, 2018
The purpose of this paper is to investigate the stationary dense operators and their connection to distribution semigroups and abstract Cauchy problem in sequentially complete spaces.Comment: arXiv admin note: substantial text overlap with arXiv:1610 ...
c, Marko Kosti\', c, Stevan Pilipovi\', Velinov, Daniel   +2 more
core  

On a Method of Solution of Systems of Fractional Pseudo-Differential Equations. [PDF]

Fract Calc Appl Anal, 2021
Umarov S, Ashurov R, Ashurov R, Chen Y.
europepmc   +1 more source

Existence and optimal control of Hilfer fractional evolution equations

Demonstratio Mathematica
This article investigates the existence and optimal controls for a class of Hilfer fractional evolution equations of order in (0,1)\left(0,1) with type of [0,10,1].
Zhou Mian, Zhou Yong, He Jia Wei, Liang Yong   +3 more
doaj   +1 more source