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

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Document pages: 7 pages

Abstract: In this paper, we study the nonexistence of solutions of thefollowing time fractional nonlinear Schr?dinger equations with nonlinear memory where 0, ιλ denotes the principalvalue of ιλ, p>1, T>0, λ∈C {0}, u(t,x) is a complex-valuefunction, denotes leftRiemann-Liouville fractional integrals of order 1-λ and is the Caputofractional derivative of order . We obtain that the problem admits no global weak solutionwhen and under differentconditions for initial data.

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