Results 21 to 30 of about 199 (102)
Ground states for fractional Schrödinger equations involving a critical nonlinearity
Advances in Nonlinear Analysis, 2016 This paper is aimed to study ground states for a class of fractional Schrödinger equations involving the critical exponents:
Zhang Xia, Zhang Binlin, Xiang Mingqi
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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 +4 more
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Advanced Nonlinear StudiesIn this article, we focus on studying space-time fractional parabolic equations with the nonlocal Bellman operator and the Marchaud fractional derivative. To address the difficulty caused by the space-time non-locality of operator ∂tα−Fs ${\partial }_{t}^
Liu Mengru, Zhang Lihong, Wang Guotao
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Advances in Nonlinear Analysis, 2023 This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity up{u}^{p} in a bounded domain Ω\Omega with the homogeneous Neumann boundary condition and positive initial values.
Floridia Giuseppe +2 more
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Advances in Nonlinear AnalysisIn this article, we mainly study the qualitative properties of solutions for dual fractional-order parabolic equations with nonlocal Monge-Ampère operators in different domains ∂tβμ(y,t)−Dατμ(y,t)=f(μ(y,t)).{\partial }_{t}^{\beta }\mu \left(y,t)-{D}_ ...
Yang Zerong, He Yong
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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 +2 more
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Demonstratio Mathematica, 2021 In this paper, we show how to approximate the solution to the generalized time-fractional Huxley-Burgers’ equation by a numerical method based on the cubic B-spline collocation method and the mean value theorem for integrals.
Hadhoud Adel R. +3 more
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The modified quasi-boundary-value method for an ill-posed generalized elliptic problem
Advances in Nonlinear AnalysisIn 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 +3 more
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Open Mathematics, 2023 Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang +3 more
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Ground-state solutions for fractional Kirchhoff-Choquard equations with critical growth
Advances in Nonlinear AnalysisWe 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
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