The purpose of this article is to show the asymptotic behavior of the solution of the abstract Schrödinger equation with time fractional derivative of order α ∈ (0, 1). We give a detailed description of the long time behavior of the corresponding operator solution. As it is expected in this case, the dynamics are not governed neither by a group nor by a semigroup.
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The Asymptotic Behavior Of The Time Fractional Schrodinger Equation On Hilbert Space
