The Deterministic and Stochastic Solutions of the Schrodinger Equation With Time Conformable Derivative in Birefrigent Fibers
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
Yes
OpenAIRE Downloads
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Publicly Funded
No
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Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
In this manuscript, the deterministic and stochastic nonlinear Schrodinger equation with time conformable derivative is analysed in birefrigent fibers. Hermite transforms, white noise analysis and the modified fractional sub-equation method are used to obtain white noise functional solutions for this equation. These solutions consists of exact stochastic hyperbolic functions, trigonometric functions and wave solutions.
Description
Keywords
The Stochastic Time Fractional Nonlinear Schrodinger Equation, The Modified Fractional, Sub-Equation Method, backstepping, Financial economics, Artificial intelligence, Economics, Sub-equation method, The modified fractional, Geometry, the stochastic time fractional nonlinear schrödinger equation, Schrödinger equation, Conformable matrix, Noise (video), White noise, Periodic Wave Solutions, Mathematical analysis, Quantum mechanics, Discrete Solitons in Nonlinear Photonic Systems, QA1-939, FOS: Mathematics, Image (mathematics), Nonlinear Schrödinger Equation, Anomalous Diffusion Modeling and Analysis, Trigonometric functions, Hermite polynomials, Time-Fractional Diffusion Equation, adaptive fuzzy control, Physics, Statistics, non-strict feedback systems, Statistical and Nonlinear Physics, Applied mathematics, Computer science, Hyperbolic function, Physics and Astronomy, Modeling and Simulation, Derivative (finance), Mathematical physics, Physical Sciences, Nonlinear system, The stochastic time fractional nonlinear Schrodinger equation, time-varying input delay, sampled-data, Trigonometry, the modified fractional sub-equation method, Mathematics, Rogue Waves in Nonlinear Systems, the stochastic time fractional nonlinear Schrödinger equation, PDEs with randomness, stochastic partial differential equations, NLS equations (nonlinear Schrödinger equations), Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Korpinar, Zeliha...et al. (2020). "The deterministic and stochastic solutions of the Schrodinger equation with time conformable derivative in birefrigent fibers", AIMS Mathematics, Vol. 5, No. 3, pp. 2326-2345.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
8
Source
AIMS Mathematics
Volume
5
Issue
3
Start Page
2326
End Page
2345
PlumX Metrics
Citations
CrossRef : 10
Scopus : 7
Captures
Mendeley Readers : 4
SCOPUS™ Citations
13
checked on Feb 25, 2026
Web of Science™ Citations
11
checked on Feb 25, 2026
Page Views
2
checked on Feb 25, 2026
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