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The deterministic and stochastic solutions of the Schrodinger equation with time conformable derivative in birefrigent fibers
Journal article   Open access  Peer reviewed

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

Zeliha Korpinar, Mustafa Inc, Ali S. Alshomrani, Dumitru Baleanu and 2 Fırat University, Science Faculty, Department of Mathematics, 23119 Elazığ/Turkiye
AIMS mathematics, Vol.5(3), pp.2326-2345
01/01/2020
DOI: https://doi.org/10.3934/math.2020154

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.3934/math.2020154View
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