Application of Fixed Point Theorem for Stability Analysis of a Nonlinear Schrodinger with Caputo-Liouville Derivative
Date
2017
Authors
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Publisher
Univ Nis, Fac Sci Math
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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.
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Keywords
Caputo-Liouville Derivative With Fractional Order, Nonlinear Schrodinger Equation, Fixed Point Theorem, Uniqueness
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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.
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Source
Filomat
Volume
31
Issue
8
Start Page
2243
End Page
2248