Research on controllability issues for equations with the Hilfer derivative and with bounded operators in Banach spaces

D. M. Gordievskikh ; V. E. Fedorov

Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 552-560.

Résumé

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.

Détail

Keywords: Hilfer derivative, fractional order equation, Cauchy type problem, distributed control system, approximate controllability.

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