Feynman path formula for the time fractional Schrödinger equation

DOI10.3934/DCDSS.2020246zbMath1451.35150OpenAlexW3002268902MaRDI QIDQ827503

Hassan Emamirad, Arnaud Rougirel

Publication date: 12 January 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020246

zbMATH Keywords

Mittag-Leffler functionWright functionFeynman path formulatime fractional in the sense of Caputo

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

On a fractional Schrödinger equation in the presence of harmonic potential

Cites Work

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• Functional Analysis and the Feynman Operator Calculus
• Evolutionary Integral Equations and Applications
• The fundamental solution of the space-time fractional diffusion equation
• Time fractional Schrödinger equation
• Semigroup product formulas and addition of unbounded operators

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