Equivalent system for a multiple-rational-order fractional differential system
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Publication:2809793
DOI10.1098/rsta.2012.0156zbMath1342.34012OpenAlexW2330430612WikidataQ51237594 ScholiaQ51237594MaRDI QIDQ2809793
Fengrong Zhang, Fanhai Zeng, Changpin Li, Juergen Kurths
Publication date: 30 May 2016
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rsta.2012.0156
Caputo derivativeRiemann-Liouville derivativegeneralized fractional derivativeequivalent systemmultiple-rational-order fractional differential system
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Fractional ordinary differential equations (34A08)
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Cites Work
- Dynamic analysis of a fractional-order Lorenz chaotic system
- Stability analysis of fractional differential system with Riemann-Liouville derivative
- Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system
- On stability, persistence, and Hopf bifurcation in fractional order dynamical systems
- Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
- Remarks on fractional derivatives
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations
- Chaos control of a fractional order modified coupled dynamos system
- Analysis of a system of fractional differential equations
- Multi-order fractional differential equations and their numerical solution
- On the fractional-order logistic equation
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- STABILITY-PRESERVING HIGH-ORDER METHODS FOR MULTITERM FRACTIONAL DIFFERENTIAL EQUATIONS
- EXISTENCE AND CONTINUATION THEOREMS OF RIEMANN–LIOUVILLE TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
