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

DOI10.47475/2500-0101-2024-9-4-552-560MaRDI QIDQ6646085

Vladimir E. Fedorov, Dmitriy Mikhaylovich Gordievskikh

Publication date: 29 November 2024

Published in: Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

approximate controllabilityCauchy type problemdistributed control systemHilfer derivativefractional order equation

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Systems theory; control (93-XX)

Cites Work

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• Applications of fractional calculus in physics
• The Salamon-Weiss class of well-posed infinite-dimensional linear systems: a survey
• Nonlinear system of impulsive integro-differential equations with Hilfer fractional operator and mixed maxima
• On solvabilityof some classes of equations with Hilfer derivative in Banach spaces
• Criterion of the approximate controllability of a class of degenerate distributed systems with the Riemann–Liouville derivative
• Controllability and Observability in Banach Space with Bounded Operators
• Analytic resolving families of operators for linear equations with Hilfer derivative

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