Results 61 to 70 of about 251 (140)

Eigenvalues for a combination between local and nonlocal p-Laplacians

, 2019
In this paper we study the Dirichlet eigenvalue problem −Δpu − ΔJ,pu = λ|u| p−2u in Ω, u = 0 in Ωc = RN \ Ω. Here Ω is a bounded domain in RN , Δpu is the standard local p-Laplacian and ΔJ,pu is a nonlocal p-homogeneous operator of order zero.
Ferreira, Raúl, Rossi, Julio Daniel, del Pezzo, Leandro Martin   +2 more
core   +1 more source

The modified quasi-boundary-value method for an ill-posed generalized elliptic problem

Advances in Nonlinear Analysis
In this study, we are interested in the regularization of an ill-posed problem generated by a generalized elliptic equation in an abstract framework. The regularization strategy is based on the modified quasi-boundary-valued method, which allows us to ...
Selmani Wissame, Boussetila Nadjib, Kirane Mokhtar, Alsulami Hamed   +3 more
doaj   +1 more source

The Analytic Methods for Solving the System of Fractional Order Brusselator Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Systems of fractional order Brusselator equations (SFBEs) have gained recent attention from researchers due to their relevance in the modeling of reaction‐diffusion processes in triple collision, enzymatic reactions, and plasma. Finding the solution to the SFBEs has become paramount in the scientific community.
Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Md. Kamrujjaman   +4 more
wiley   +1 more source

α-Mellin Transform and One of Its Applications [PDF]

, 2012
MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we
Nikolova, Yanka
core  

Two effective approaches for solving fractional generalized Hirota-Satsuma coupled KdV system arising in interaction of long waves

, 2019
In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ahmad Neirameh, Orkun Tasbozan, Mohammad Mirzazadeh, Mostafa Eslami, Mehmet Senol, Ali Kurt, Hadi Rezazadeh, KURT, ALİ, TAŞBOZAN, ORKUN, ŞENOL, MEHMET, MOSTAFA, ESLAMİ, REZAZADEH, HADİ, NEİRAMEH, AHMAD, MOHAMMED, MİRZAZADEH   +13 more
core   +1 more source

Existence of periodic solutions to fractional p(z)-Laplacian parabolic problems

We consider a class of nonlinear parabolic initial boundary value problems having the fractional p(z)-Laplacian operator. By combining variable exponent fractional Sobolev spaces with topological degree theory, we establish theexistence of a time ...
MELLIANI, Said, ZINEDDAINE, Ghizlane, KASSIDI, Abderrazak   +2 more
core   +1 more source

Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth

Advances in Nonlinear Analysis
We study the following fractional Kirchhoff-Choquard equation: a+b∫RN(−Δ)s2u2dx(−Δ)su+V(x)u=(Iμ*F(u))f(u),x∈RN,u∈Hs(RN),\left\{\begin{array}{l}\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{\left|{\left(-\Delta )}^{\frac{s}{2}}u\right|}
Yang Jie, Chen Haibo
doaj   +1 more source

Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity

Advanced Nonlinear Studies
In this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
doaj   +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

On a fractional thin film equation

Advances in Nonlinear Analysis, 2020
This paper deals with a nonlinear degenerate parabolic equation of order α between 2 and 4 which is a kind of fractional version of the Thin Film Equation.
Segatti Antonio, Vázquez Juan Luis
doaj   +1 more source