Applicability of time conformable derivative to Wick-fractional-stochastic PDEs

Autor: Zeliha Korpinar, Fairouz Tchier, Mustafa Inc, Fatiha Bousbahi, Ferdous M.O. Tawfiq, Mehmet Ali Akinlar
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 59, Iss 3, Pp 1485-1493 (2020)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2020.05.001
Popis: Fractional-stochastic quadratic-cubic nonlinear Schrödinger equation (QC-NLSE) describing propagation of solitons through optical fibers is analyzed. Hermite transforms, white noise analysis and an improved computational method are used to investigate uncertain solutions for QC-NLSE. Specifically, Hermite transformation is applied to convert fractional-stochastic differential equations by Wick-type into deterministic fractional differential equations with an integral term. Furthermore, inverse Hermite transformation is employed to obtain stochastic solutions in the white noise space. Characteristics of presented equations are shown by using some specific values of physical arguments on obtained solutions.
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