The Nonexistence of Global Solutions for a Time Fractional Schrödinger Equation with Nonlinear Memory
2018
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, 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.
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