Geodesic
Research on controllability issues for equations with the Hilfer derivative and with bounded operators in Banach spaces
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 552-560

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The issues of approximate controllability of systems described by evolutionary equations in Banach spaces resolved with respect to the Hilfer fractional derivative are investigated. The operator at the unknown function is assumed to be bounded. Criteria of controllability for fixed and for free time is obtained. The abstract result is used when considering a class of distributed control systems of fractional order in time.
Keywords: Hilfer derivative, fractional order equation, Cauchy type problem, distributed control system, approximate controllability. 
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     author = {D. M. Gordievskikh and V. E. Fedorov},
     title = {Research on controllability issues for equations with the {Hilfer} derivative and with bounded operators in {Banach} spaces},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {552--560},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_4_a1/}
}
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D. M. Gordievskikh; V. E. Fedorov. Research on controllability issues for equations with the Hilfer derivative and with bounded operators in Banach spaces. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 552-560. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_4_a1/