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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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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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Nonreactive solute transport in soil columns: classical and fractional-calculus modeling [PDF]
, 2013 Vertical nonreactive solute transport data collected in three laboratory soil columns (made out of sediment samples from the Pampean aquifer located southeast of the Buenos Aires province) are contrasted with the explicit solutions of two model 1D linear
Benavente, Micaela Andrea +4 more
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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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Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]
, 2010 Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Boyadjiev, Lyubomir, Nikolova, Yanka
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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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, 2011 Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with the same period.
Kaslik, Eva, Sivasundaram, Seenith
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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 +2 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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