Geodesic
A probabilistic approximation of the Cauchy problem solution for the Schrödinger equation with a fractional derivative operator
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 257-272 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct two types of probabilistic approximations of the Cauchy problem solution for the nonstationary Schrödinger equation with a symmetric fractional derivative of order $\alpha\in(1,2)$ on the right hand side. In the first case we approximate the solution by a mathematical expectation of point Poisson field functionals and in the second case we approximate the solution by a mathematical expectation of functionals of sums of independent random variables with a power asymptotics of a tail distribution. 
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     author = {M. V. Platonova and S. V. Tsykin},
     title = {A probabilistic approximation of the {Cauchy} problem solution for the {Schr\"odinger} equation with a~fractional derivative operator},
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M. V. Platonova; S. V. Tsykin. A probabilistic approximation of the Cauchy problem solution for the Schrödinger equation with a fractional derivative operator. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 257-272. http://geodesic.mathdoc.fr/item/ZNSL_2017_466_a16/

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