Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative

Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative
复制标题

带导数分数阶广义耦合非线性薛定谔方程全局吸引子的存在性

DOI:
10.1186/s13661-018-1027-6
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发表时间:
2018-07
影响因子:
1.7
通讯作者:
Ganshan Yang
Ganshan Yang
中科院分区:
数学4区
文献类型:
--
作者:
Wenjing Song;Ganshan Yang

文献摘要

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本文研究了具有分数阶、分数阶拉普拉斯算子和导数项的分数阶薛定谔方程。证明了弱解的存在性,并在一定条件下得到了整体吸引子的存在性
In this paper, we are concerned with the fractional Schrödinger equation with time fraction order, fractional Laplacian, and derivative terms. The existence of weak solution is established, as well as the existence of global attractor is obtained under so