Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations

DOI10.1515/fca-2021-0010zbMath1488.34319arXiv1910.07237OpenAlexW3133910979WikidataQ115236504 ScholiaQ115236504MaRDI QIDQ2020231

Eva Kaslik, Oana Brandibur

Publication date: 23 April 2021

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07237

zbMATH Keywords

stabilityinstabilityCaputo derivativefractional ordinary differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20) Fractional ordinary differential equations (34A08)

Related Items (8)

Existence, uniqueness and asymptotic behavior of solutions to two-term fractional differential equations ⋮ Lyapunov stability theorems for \(\psi \)-Caputo derivative systems ⋮ Stabilisation of distributed-order nonlinear systems via event-triggered control ⋮ Asymptotic behavior of fractional-order nonlinear systems with two different derivatives ⋮ Output feedback control and output feedback finite-time control for nonlinear fractional-order interconnected systems ⋮ An analysis of solutions to fractional neutral differential equations with delay ⋮ Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems ⋮ Considerations regarding the accuracy of fractional numerical computations

Cites Work

• Unnamed Item
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• Unnamed Item
• Stability analysis on a class of nonlinear fractional-order systems
• Fractional dynamical system and its linearization theorem
• Stability of fractional-order linear time-invariant systems with multiple noncommensurate orders
• Stability of fractional order systems
• Stability properties of two-term fractional differential equations
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Coprime factorizations and stability of fractional differential systems
• Stability properties of a two-dimensional system involving one Caputo derivative and applications to the investigation of a fractional-order Morris-Lecar neuronal model
• Asymptotic behavior of solutions of linear multi-order fractional differential systems
• Asymptotic stability of dynamic equations with two fractional terms: continuous versus discrete case
• Cauchy problems for some classes of linear fractional differential equations
• Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
• Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples
• Stability of two‐component incommensurate fractional‐order systems and applications to the investigation of a FitzHugh‐Nagumo neuronal model
• ON STABILITY OF COMMENSURATE FRACTIONAL ORDER SYSTEMS
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Stability Analysis of Two-Dimensional Incommensurate Systems of Fractional-Order Differential Equations
• A novel exact representation of stationary colored Gaussian processes (fractional differential approach)

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