M. V. Platonova, S. V. Tsykin, “Probabilistic approach to Cauchy problem solution for the Schrödinger equation with a fractional derivative of order <nobr>$\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$</nobr>”, Zap. Nauchn. Sem. POMI, 2018, Volume 474,Pages <nobr>199

This article is cited in 2 papers

Probabilistic approach to Cauchy problem solution for the Schrödinger equation with a fractional derivative of order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$

M. V. Platonova^abc, S. V. Tsykin^cab

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
^b Saint Petersburg State University, Saint Petersburg, Russia
^c Saint Petersburg State University, Saint Petersburg, Russia

Abstract: We construct a probabilistic approximation of the Cauchy problem solution for the nonstationary Schrödinger equation with a symmetric fractional derivative of order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$ in the right hand side.

Key words and phrases: fractional derivative, Schrödinger equation, limit theorem, point Poisson field.

UDC: 519.2

Received: 29.10.2018