Results 51 to 60 of about 174 (81)

Nonlocal perturbations of the fractional Choquard equation

Advances in Nonlinear Analysis, 2017
We study the ...
Singh Gurpreet
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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
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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
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Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent

Advances in Nonlinear Analysis, 2019
This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent.
Xiang Mingqi, Zhang Binlin, Rădulescu Vicenţiu D.   +2 more
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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
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A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
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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
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Petrov-Galerkin method for small deflections in fourth-order beam equations in civil engineering

Nonlinear Engineering
This study explores the Petrov–Galerkin method’s application in solving a linear fourth-order ordinary beam equation of the form u″″+qu=fu^{\prime\prime} ^{\prime\prime} +qu=f.
Youssri Youssri Hassan, Atta Ahmed Gamal, Abu Waar Ziad Yousef, Moustafa Mohamed Orabi   +3 more
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Penalty method for unilateral contact problem with Coulomb's friction in time-fractional derivatives

Demonstratio Mathematica
The purpose of this work is to study a mathematical model that describes a contact between a deformable body and a rigid foundation. A linear viscoelastic Kelvin-Voigt constitutive law with time-fractional derivatives describes the material’s behavior ...
Essafi Lakbir, Bouallala Mustapha
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Multiple concentrating solutions for a fractional (p, q)-Choquard equation

Advanced Nonlinear Studies
We focus on the following fractional (p, q)-Choquard problem: (−Δ)psu+(−Δ)qsu+V(εx)(|u|p−2u+|u|q−2u)=1|x|μ*F(u)f(u) in RN,u∈Ws,p(RN)∩Ws,q(RN),u>0 in RN, $\begin{cases}{\left(-{\Delta}\right)}_{p}^{s}u+{\left(-{\Delta}\right)}_{q}^{s}u+V\left(\varepsilon ...
Ambrosio Vincenzo
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