Results 61 to 70 of about 1,557 (138)

A Linear Implicit L1-Legendre Galerkin Chebyshev Collocation Method for Generalized Time- and Space-Fractional Burgers Equation

Journal of Computational Mathematics, 2019
In this paper, a linear implicit L1-Legendre Galerkin Chebyshev collocation method for the generalized timeand space-fractional Burgers equation is developed.
Y. Ma
semanticscholar   +1 more source

A multiplicity result for a fractional Kirchhoff equation in $\mathbb{R}^{N}$ with a general nonlinearity

, 2017
In this paper we deal with the following fractional Kirchhoff equation \begin{equation*} \left(p+q(1-s) \iint_{\mathbb{R}^{2N}} \frac{|u(x)- u(y)|^{2}}{|x-y|^{N+2s}} \, dx\,dy \right)(-\Delta)^{s}u = g(u) \mbox{ in } \mathbb{R}^{N}, \end{equation*} where
Ambrosio, Vincenzo, Isernia, Teresa
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Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity

Advanced Nonlinear Studies
In this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
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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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Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions [PDF]

, 2012
MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space ...
Al-Saqabi, Bader, Boyadjiev, Lyubomir
core  

Weyl-type laws for fractional p-eigenvalue problems

, 2014
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
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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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General Fractional Calculus, Evolution Equations, and Renewal Processes

, 2011
We develop a kind of fractional calculus and theory of relaxation and diffusion equations associated with operators in the time variable, of the form $(Du)(t)=\frac{d}{dt}\int\limits_0^tk(t-\tau)u(\tau)\,d\tau -k(t)u(0)$ where $k$ is a nonnegative ...
Kochubei, Anatoly N.
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Qualitative properties of solutions for dual fractional parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In 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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Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities

Advances in Nonlinear Analysis, 2022
In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
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