On nonexistence of solutions to some time-space fractional evolution equations with transformed space argument

arxiv(2022)

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摘要
Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method. The analysis is then used for a $2\times 2$ system of equations with transformed space arguments.
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关键词
Nonlinear evolution equations, nonexistence of solutions, space transformed argument, Caputo fractional derivative, fractional Laplacian
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