Results 81 to 90 of about 1,586 (136)

Optimal rearrangement problem and normalized obstacle problem in the fractional setting

Advances in Nonlinear Analysis, 2020
We consider an optimal rearrangement minimization problem involving the fractional Laplace operator (–Δ)s, 0 < s < 1, and the Gagliardo seminorm |u|s. We prove the existence of the unique minimizer, analyze its properties as well as derive the non-local ...
Bonder Julián Fernández, Cheng Zhiwei, Mikayelyan Hayk   +2 more
doaj   +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

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

Finite difference method for solving the space-time fractional wave equation in the Caputo form

, 2015
In this paper a space-time fractional wave equation on a finite domain is considered. The time and space fractional derivative are described in the Caputo sense. We propose a finite difference scheme to solve the space-time fractional wave equation.
E. Afshari, B. Sepehrian, A. Nazari
semanticscholar   +1 more source

Boundary regularity of an isotropically censored nonlocal operator. [PDF]

Calc Var Partial Differ Equ, 2023
Chan H.
europepmc   +1 more source

Ground states for fractional Kirchhoff double-phase problem with logarithmic nonlinearity

Demonstratio Mathematica
Our primary objective is to study the solvability of two kinds of fractional Kirchhoff double-phase problem involving logarithmic nonlinearity in RN{{\mathbb{R}}}^{N} via the variational approach.
Cheng Yu, Shang Suiming, Bai Zhanbing
doaj   +1 more source

A note on the Dancer–Fučík spectra of the fractional p-Laplacian and Laplacian operators

Advances in Nonlinear Analysis, 2015
We study the Dancer–Fučík spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p = 2, we present a very accurate local analysis.
Perera Kanishka, Squassina Marco, Yang Yang   +2 more
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

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