Fractional input stability for electrical circuits described by the Riemann-Liouville and the Caputo fractional derivatives

DOI10.3934/MATH.2019.1.147zbMath1426.93274OpenAlexW2911606192WikidataQ128391480 ScholiaQ128391480MaRDI QIDQ2335324

Ndolane Sene

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2019.1.147

zbMATH Keywords

fractional derivativesfractional differential equationselectrical circuits

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Fractional derivatives and integrals (26A33) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Generalized Mittag-Leffler input stability of the fractional differential equations

Cites Work

• On the possibility of the jerk derivative in electrical circuits
• Stability analysis of fractional differential system with Riemann-Liouville derivative
• Analytic solution for the \(R L\) electric circuit model in fractional order
• Fractional input stability and its application to neural network
• Mittag-Leffler input stability of fractional differential equations and its applications
• Chaotic processes using the two-parameter derivative with non-singular and non-local kernel: Basic theory and applications
• On generalized fractional operators and a gronwall type inequality with applications
• Exponential form for Lyapunov function and stability analysis of the fractional differential equations

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