Applicability of time conformable derivative to Wick-fractional-stochastic PDEs
, Zeliha Korpinar , , . 2020
Fractional-stochastic quadratic-cubic nonlinear Schro¨ dinger 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
Systems of high-dimensional nonlinear ordinary differential equations play a significant role in Physics and applied sciences including big-data optimization, financial models, epidemic disease…
Fractional-stochastic quadratic-cubic nonlinear Schro¨ dinger equation (QC-NLSE)
describing propagation of solitons through optical fibers is analyzed. Hermite transforms, white
noise…
This paper is devoted to establishing some criteria for the existence of non-trivial
solutions for a class of fractional q-difference equations involving the p-Laplace operator,
which…