The deterministic and stochastic solutions of the Schrodinger equation with time conformable derivative in birefrigent fibers

In this manuscript, the deterministic and stochastic nonlinear Schrödinger 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 thi...

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Published inAIMS mathematics Vol. 5; no. 3; pp. 2326 - 2345
Main Authors Korpinar, Zeliha, Inc, Mustafa, Alshomrani, Ali S., Baleanu, Dumitru
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
the modified fractional sub-equation method
the stochastic time fractional nonlinear schrödinger equation
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Summary:In this manuscript, the deterministic and stochastic nonlinear Schrödinger 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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020154