Geodesic
On a limit theorem related to a Cauchy problem solution for the Schr\"odinger equation with a fractional derivative operator of the order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 28, Tome 486 (2019), pp. 254-264

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We prove a limit theorem on convergence of mathematical expectations of functionals of sums of independent random variables to a Cauchy problem solution for the nonstationary Schrödinger equation with a symmetric fractional derivative operator of the order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$ in the right hand side. 
@article{ZNSL_2019_486_a15,
     author = {M. V. Platonova and S. V. Tsykin},
     title = {On a limit theorem related to a {Cauchy} problem solution for the {Schr\"odinger} equation with a fractional derivative operator of the order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {254--264},
     publisher = {mathdoc},
     volume = {486},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_486_a15/}
}
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M. V. Platonova; S. V. Tsykin. On a limit theorem related to a Cauchy problem solution for the Schr\"odinger equation with a fractional derivative operator of the order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 28, Tome 486 (2019), pp. 254-264. http://geodesic.mathdoc.fr/item/ZNSL_2019_486_a15/