Duhamel's formula for time-fractional Schrodinger equations

被引：30
|
作者：
Zhou, Yong [1 ]
Peng, Li [1 ]
Huang, Yunqing [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 17期
基金：
中国国家自然科学基金;
关键词：
Caputo fractional derivative; Duhamel's formula; Schrodinger equations;
D O I：
10.1002/mma.5222
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the time-fractional order Schrodinger equation that is a fundamental equation in fractional quantum mechanics. By using the spectral theorem, we prove Duhamel's formula and give some properties of solution operators, which can be used to study the local existence and the global existence of time-fractional Schrodinger equations on a Hilbert space.
引用
收藏
页码：8345 / 8349
页数：5
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