The Nonexistence of Global Solutions for a Time Fractional Schrodinger Equation with Nonlinear Memory

作     者：Yaning Li Quanguo Zhang 

作者机构：College of Mathematics&StatisticsNanjing University of Information Science&TechnologyNanjingChina Department of MathematicsLuoyang Normal UniversityLuoyangHenanChina 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2018年第6卷第7期

页      面：1418-1424页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by NSF of China(11626132 11601216) 

主　　题：Fractional Schrodinger Equation Nonexistence Cauchy Problems Nonlinear Memory 

摘      要：In this paper, we study the nonexistence of solutions of the following time fractional nonlinear Schr?dinger equations with nonlinear memory where 0, ιλ denotes the principal value of ιλ, p1, T0, λ∈C/{0}, u(t,x) is a complex-value function, denotes left Riemann-Liouville fractional integrals of order 1-λ and is the Caputo fractional derivative of order . We obtain that the problem admits no global weak solution when and under different conditions for initial data.