Abstract and Applied AnalysisMSC2020 Classification: 35R11, 35B06 ...
Yu-Cheng An, Guai-Qi Tian
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Clinical Performance and Safety of 108 SpineJack Implantations: 1-Year Results of a Prospective Multicentre Single-Arm Registry Study. [PDF]
Biomed Res Int, 2015 This prospective, consecutive, multicentre observational registry aimed to confirm the safety and clinical performance of the SpineJack system for the treatment of vertebral compression fractures (VCF) of traumatic origin. We enrolled 103 patients (median age: 61.6 years) with 108 VCF due to trauma, or traumatic VCF with associated osteoporosis ...
Noriega D +14 more
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Semilinear Dirichlet problem for subordinate spectral Laplacian [PDF]
Communications on Pure and Applied Analysis, 2022 We study semilinear problems in bounded C1,1 domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian.
I. Biočić
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Inverse problem of determining an order of the Riemann-Liouville time-fractional derivative [PDF]
Fractional Differential Calculus, 2021 The inverse problem of determining the order of the fractional RiemannLiouville derivative with respect to time in the subdiffusion equation with an arbitrary positive self-adjoint operator having a discrete spectrum is considered.
S. Alimov, R. Ashurov
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On the existence of ground state solutions to critical growth problems nonresonant at zero [PDF]
Comptes rendus. Mathematique, 2021 We prove the existence of ground state solutions to critical growth p-Laplacian and fractional pLaplacian problems that are nonresonant at zero. 2020 Mathematics Subject Classification. 35B33, 35J92, 35R11.
K. Perera
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INITIAL-BOUNDARY VALUE PROBLEM FOR A SUBDIFFUSION EQUATION WITH CAPUTO DERIVATIVE [PDF]
International Journal of Apllied Mathematics, 2021 We investigate an initial-boundary value problem for a timefractional subdiffusion equation with the Caputo derivatives on N -dimensional torus by the classical Fourier method.
O. Muhiddinova
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Analysis of solutions of the 1D fractional Cattaneo heat transfer equation
Journal of Applied Mathematics and Computational Mechanics, 2021 In this paper, a solution of the single-phase lag heat conduction problem is presented. The research concerns the generalized 1D Cattaneo equation in a whole-space domain, where a second order time derivative is replaced by the fractional Caputo ...
U. Siedlecka, M. Ciesielski
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Anomalous pseudo-parabolic Kirchhoff-type dynamical model
Advances in Nonlinear Analysis, 2021 In this paper, we study an anomalous pseudo-parabolic Kirchhoff-type dynamical model aiming to reveal the control problem of the initial data on the dynamical behavior of the solution in dynamic control system. Firstly, the local existence of solution is
Dai Xiaoqiang +3 more
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Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem
Advances in Nonlinear Analysis, 2022 In this article, we consider the fractional Rayleigh-Stokes problem with the nonlinearity term satisfies certain critical conditions. The local existence, uniqueness and continuous dependence upon the initial data of ε\varepsilon -regular mild solutions ...
Wang Jing Na +3 more
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Symmetry and Nonexistence of Positive Solutions for a Fractional Laplacion System with Coupled Terms
, 2022 In this paper, we study the problem for a nonlinear elliptic system involving fractional Laplacion: (equation 1.1) where 0 < α, β < 2, p, q > 0 and max{p, q} ≥ 1, α + γ > 0, β + τ > 0, n ≥ 2. First of all, while in the subcritical case, i.e. n + α + γ −
Rongpei Zhang
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