An analytical treatment toward solution of fractional Schrodinger equation

被引：2

作者：

Agheli, Bahram ^{[1
]}

Darzi, Rahmat ^{[2
]}

机构：

[1] Islamic Azad Univ, Qaemshahr Branch, Dept Math, Qaemshahr, Iran

[2] Islamic Azad Univ, Neka Branch, Dept Math, Neka, Iran

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2017年 / 49卷 / 06期

关键词：

New homotopic perturbation method; Fractional Schrodinger equation; Caputo derivative; HOMOTOPY-PERTURBATION; VARIATIONAL ITERATION;

D O I：

10.1007/s11082-017-1059-7

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We have applied the new approach of homotopic perturbation method (NHPM) for Schrodinger equation featuring time-fractional derivative. A combination of NHPM, Laplace transform and multiple fractional power series form has been used the first time to present analytical solution. Then, in order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples have been given. All numerical calculations in this manuscript have been carried out with Mathematica.

引用

页数：13

共 14 条

[1] Explicit series solutions of some linear and nonlinear Schrodinger equations via the homotopy analysis method
Alomari, A. K.
Noorani, M. S. M.
Nazar, R.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (04) : 1196 - 1207
[2] [Anonymous], 2006, THEORY APPL FRACTION
[3] [Anonymous], 1993, INTRO FRACTIONAL CA
[4] Approximate Solutions of Non-linear Fractional Schrodinger Equation Via Differential Transform Method and Modified Differential Transform Method
Aruna, K.
Kanth, A. S. V. Ravi
[J]. NATIONAL ACADEMY SCIENCE LETTERS-INDIA, 2013, 36 (02): : 201 - 213
[5] Behzadi SS, 2011, J APPL ANAL COMPUT, V1, P427
[6] Biazar J., 2008, INT MATH FORUM, V3, P1891
[7] Numerical study of nonlinear Schrodinger and coupled Schrodinger equations by differential transformation method
Borhanifar, A.
Abazari, Reza
[J]. OPTICS COMMUNICATIONS, 2010, 283 (10) : 2026 - 2031
[8] Fushchich WI, 2013, Symmetry analysis and exact solutions of equations of nonlinear mathematical physics, V246
[9] Neamaty A., 2016, J. Nonlinear Evol. Equ. Appl, V6, P91
[10] Analytic treatment of linear and nonlinear Schrodinger equations: A study with homotopy-perturbation and Adomian decomposition methods
Sadighi, A.
Ganji, D. D.
[J]. PHYSICS LETTERS A, 2008, 372 (04) : 465 - 469

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