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

  • Received: 14 November 2019 Accepted: 23 February 2020 Published: 03 March 2020
  • MSC : 35Qxx, 35C08, 35L05

  • 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.

    Citation: Zeliha Korpinar, Mustafa Inc, Ali S. Alshomrani, Dumitru Baleanu. The deterministic and stochastic solutions of the Schrodinger equation with time conformable derivative in birefrigent fibers[J]. AIMS Mathematics, 2020, 5(3): 2326-2345. doi: 10.3934/math.2020154

    Related Papers:

  • 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.


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