分数阶微分算子的谱性质
Spectral properties of fractional differentiation operators
摘要：
我们考虑了不同意义下的分数阶微分算子，证明了严格增生性是分数阶微分算子的共同性质。我们还证明了扇形性质持有的微分算子二阶分数阶导数在最后一项，我们探讨了位置的频谱和预解集，并表明频谱是离散的。证明了末项为分数阶导数的二阶算子实分量的特征值存在双边估计。
英文摘要：
We consider fractional differentiation operators in various senses and show that the strictly accretive property is the common property of fractional differentiation operators. Also we prove that the sectorial property holds for differential operators second order with a fractional derivative in the final term, we explore a location of the spectrum and resolvent sets and show that the spectrum is discrete. We prove that there exists a two-sided estimate for eigenvalues of the real component of operators second order with the fractional derivative in the final term.
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