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arXiv · 2201.11229

On the absence of global weak solutions for a nonlinear time-fractional Schr\"odinger equation

Munirah Alotaibi·Mohamed Jleli·Maria Alessandra Ragusa·Bessem Samet
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Abstract

In this paper, an initial value problem for a nonlinear time-fractional Schr\"odinger equation with a singular logarithmic potential term is investigated. The considered problem involves the left/forward Hadamard-Caputo fractional derivative with respect to the time variable. Using the test function method with a judicious choice of the test function, we obtain sufficient criteria for the absence of global weak solutions.

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Munirah Alotaibi, Mohamed Jleli, Maria Alessandra Ragusa, Bessem Samet. 2022-01-26. On the absence of global weak solutions for a nonlinear time-fractional Schr\"odinger equation. https://arxiv.org/abs/2201.11229

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