Results 1 to 10 of about 203 (104)
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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Monotonicity of solutions for fractional p-equations with a gradient term
Open Mathematics, 2022 In this paper, we consider the following fractional pp-equation with a gradient term: (−Δ)psu(x)=f(x,u(x),∇u(x)).{\left(-\Delta )}_{p}^{s}u\left(x)=f\left(x,u\left(x),\nabla u\left(x)). We first prove the uniqueness and monotonicity of positive solutions
Wang Pengyan
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Nonlinear Engineering, 2022 In the present article, we geometrically and analytically examine the mutual impact of space-time Caputo derivatives embedded in (1 + 2)-physical models.
Makhadmih Mohammad +3 more
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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A Computational Method for the Time-Fractional Navier-Stokes Equation
Cumhuriyet Science Journal, 2018 In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
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Sign-Changing Solutions for the One-Dimensional Non-Local sinh-Poisson Equation
Advanced Nonlinear Studies, 2020 We study the existence of sign-changing solutions for a non-local version of the sinh-Poisson equation on a bounded one-dimensional interval I, under Dirichlet conditions in the exterior of I.
DelaTorre Azahara +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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A posteriori error estimates based on superconvergence of FEM for fractional evolution equations
Open Mathematics, 2021 In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The
Tang Yuelong, Hua Yuchun
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Existence of Ground States of Fractional Schrödinger Equations
Advanced Nonlinear Studies, 2021 We consider ground states of the nonlinear fractional Schrödinger equation with ...
Ma Li, Li Zhenxiong
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