The Nonexistence of Global Solutions for a Time Fractional Schrödinger Equation with 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<λ<β<1 , ι~(λ) denotes the principal value of ι~(λ) , p>1 , T>0 , 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.