The fractional in time Schrödinger equation with a Hartree perturbation

2019/07/05 by Humberto Prado, Prado, Humberto, J. Ramírez +1
Mathematics · #26A33 #35Q40 #35Q55 #46E35 #47G30 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1907.03021

openalex publication_date 2019/07/05 · openalex created_date 2019/07/12 · openalex updated_date 2026/07/28

Abstract

The aim of this work is to show existence, uniqueness and regularity properties of nonlinear fractional Schrödinger equation with fractional time derivative of order α∈ (0,1) and with a Hartree-type nonlinear term.

Related

• The time fractional Schrödinger equation on Hilbert space
• On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity
• On fractional Schrödinger equations with Hartree type nonlinearities
• Time fractional Schrödinger equation
• Time Fractional Schroödinger Equation