Application of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger With Caputo-Liouville Derivative
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Nis, Fac Sci Math
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
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Publicly Funded
No
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Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
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, Fractional derivatives and integrals, Caputo-Liouville derivative with fractional order, fixed point theorem, uniqueness, Fractional ordinary differential equations, nonlinear Schrödinger equation, Fractional partial differential equations
Fields of Science
0103 physical sciences, 01 natural sciences
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
Q2
Scopus Q
Q3
OpenCitations Citation Count
22
Source
Filomat
Volume
31
Issue
8
Start Page
2243
End Page
2248
PlumX Metrics
Citations
CrossRef : 19
Scopus : 27
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Mendeley Readers : 6
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