Application of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger With Caputo-Liouville Derivative
No Thumbnail Available
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Nis, Fac Sci Math
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
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.
Description
Keywords
Caputo-Liouville Derivative With Fractional Order, Nonlinear Schrodinger Equation, Fixed Point Theorem, Uniqueness
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Atangana, Abdon; Baleanu, Dumitru (2017). Application of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger with Caputo-Liouville Derivative, Filomat, 31(8), 2243-2248.
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
22
Source
Volume
31
Issue
8
Start Page
2243
End Page
2248
PlumX Metrics
Citations
CrossRef : 19
Scopus : 28
Captures
Mendeley Readers : 6
Google Scholar™
OpenAlex FWCI
3.47508091
Sustainable Development Goals
1
NO POVERTY
2
ZERO HUNGER
3
GOOD HEALTH AND WELL-BEING
4
QUALITY EDUCATION
5
GENDER EQUALITY
7
AFFORDABLE AND CLEAN ENERGY
8
DECENT WORK AND ECONOMIC GROWTH
9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
10
REDUCED INEQUALITIES
11
SUSTAINABLE CITIES AND COMMUNITIES
13
CLIMATE ACTION
14
LIFE BELOW WATER
15
LIFE ON LAND
16
PEACE, JUSTICE AND STRONG INSTITUTIONS
17
PARTNERSHIPS FOR THE GOALS
