Semigroup property of fractional differential operators and its applications

DOI10.3934/DCDSB.2022064OpenAlexW3183342475MaRDI QIDQ2083280

Nguyen Dinh Cong

Publication date: 10 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08914

zbMATH Keywords

Lyapunov stabilitysemigroup propertyRiemann-Liouville fractional operatorsCaputo fractional operatorsmulti-term Caputo fractional differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) Fractional ordinary differential equations (34A08)

Cites Work

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• Which functions are fractionally differentiable?
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Asymptotic behavior of solutions of linear multi-order fractional differential systems
• ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS
• Stability and Stabilization of Fractional‐Order Systems with Different Derivative Orders: An LMI Approach
• Mittag-Leffler Functions, Related Topics and Applications

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