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• W4225502779 abstract "<p style='text-indent:20px;'>Our investigations are motivated by the well - posedness problem of some dynamical models with anomalous diffusion described by the Caputo spatial fractional derivative of order <inline-formula><tex-math id=M1>begin{document}$ alpha in (1, 2) $end{document}</tex-math></inline-formula>. We propose a characterization of an exponentially stable analytic semigroup generator using the inverse operator. This characterization enables us to establish the form of a generator involving the Caputo fractional derivative, under various boundary conditions. In particular, the results simplify those known from literature obtained by means of the fractional Sobolev spaces and some perturbation results. Going further, we show how to construct a control system in factor form, having such a generator as the state operator.</p>" @default.
• W4225502779 created "2022-05-05" @default.
• W4225502779 creator A5039496173 @default.
• W4225502779 date "2022-01-01" @default.
• W4225502779 modified "2023-09-30" @default.
• W4225502779 title "On analytic semigroup generators involving Caputo fractional derivative" @default.
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• W4225502779 doi "https://doi.org/10.3934/eect.2022014" @default.
• W4225502779 hasPublicationYear "2022" @default.
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