2 papers
math.AP2023
On well-posedness of the space-time fractional nonlinear Schrödinger equation
Mingxuan He, Na Deng, Lu Zhang
We study the Cauhcy problem for space-time fractional nonlinear Schrödinger equation with a general nonlinearity. We prove the local well-posedness of it in fractional Sobolev spac…
math.AP2023
On the fractional abstract Schrodinger-type evolution equations on the Hilbert space and its applications to the fractional dispersive equations
Mingxuan He, Na Deng
In this paper we prove the local and global well-posedness of the time fractional abstract Schrödinger type evolution equation on the Hilbert space and as an application, we prove…