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The well-posedness for fractional nonlinear Schrödinger equations
Journal article   Peer reviewed

The well-posedness for fractional nonlinear Schrödinger equations

Li Peng, Yong Zhou and Bashir Ahmad
Computers & mathematics with applications (1987), Vol.77(7), pp.1998-2005
01/04/2019
DOI: https://doi.org/10.1016/j.camwa.2018.11.037

Abstract

Caputo fractional derivative Cauchy problem Decay estimate Existence Schrödinger equations
In this paper we apply the tools of harmonic analysis to study the Cauchy problem for time fractional Schrödinger equations. The existence and a sharp decay estimate for solutions of the given problem in two different spaces are addressed. Some fundamental properties of operators appearing in the solution of the problem are also discussed.

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