Application of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger with Caputo-Liouville Derivative

被引：25

作者：

Atangana, Abdon ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

机构：

[1] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9300 Bloemfontein, South Africa

[2] Cankara Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06530 Ankara, Turkey

[3] Inst Space Sci, Bucharest 76900, Romania

来源：

FILOMAT | 2017年 / 31卷 / 08期

关键词：

Caputo-Liouville derivative with fractional order; nonlinear Schrodinger equation; fixed point theorem; uniqueness;

D O I：

10.2298/FIL1708243A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the new Caputo-Liouville derivative with fractional order, we have modified the nonlinear Schrdinger equation. We have shown some useful in connection of the new derivative with fractional order. We used an iterative approach to derive an approximate solution of the modified equation. We have established the stability of the iteration scheme using the fixed point theorem. We have in addition presented in detail the uniqueness of the special solution.

引用

页码：2243 / 2248

页数：6

共 13 条

[1] Iterative Approximation of Fixed Points of Generalized Weak Presic Type k-Step Iterative Method for a Class of Operators [J].