期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 -, 期 -, 页码 -出版社
WILEY
DOI: 10.1002/mma.6335
关键词
Atangana-Baleanu fractional derivative; generalized nonlinear Schrodinger equation; Laplace transform; q-homotopy analysis method
资金
- Science and Engineering Research Board, Government of India [EEQ/2017/000385]
The Schrodinger equation depends on the physical circumstance, which describes the state function of a quantum-mechanical system and gives a characterization of a system evolving with time. The essential focus of proposed research is to observe the solution for fractional generalized nonlinear Schrodinger (FGNS) equation using q-homotopy analysis transform method ( q-HATM). The fractional order derivative is taken in the Atangana-Baleanu (AB) sense. The physical behaviours of achieved solution for FGNS equation are discussed and sketch out graphically. The existence of the solution for the FGNS equation is presented through theorems 4.1 to 4.3. The proposed numerical simulations confirm the advantages of the AB derivative through q-HATM. Few numerical experiments were carried out to validate the proposed method. Moreover, numerical simulations are carried out to verify efficiency and robustness of the derived results by considering two cases.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据