Stability analysis of fractional differential equations with the short-term memory property
DOI10.1007/s13540-022-00049-9zbMath1503.34019OpenAlexW4281679205WikidataQ114017003 ScholiaQ114017003MaRDI QIDQ2110507
Guojian Ren, Xudong Hai, Conghui Xu, Yongguang Yu
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13540-022-00049-9
stabilityfractional calculusnonautonomous systemsfractional Lyapunov direct methodsshort-term memory property
Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20) Fractional ordinary differential equations (34A08)
Uses Software
Cites Work
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- The Grünwald-Letnikov fractional-order derivative with fixed memory length
- Fractional modelling and identification of thermal systems
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Surpassing the fractional derivative: concept of the memory-dependent derivative
- Dissipativity and stability analysis for fractional functional differential equations
- Fractional calculus models of complex dynamics in biological tissues
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Fractional system identification for lead acid battery state of charge estimation
- Adaptive nonlinear control without overparametrization
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- The development of fractional calculus 1695-1900
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A note on short memory principle of fractional calculus
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Stability of scalar nonlinear fractional differential equations with linearly dominated delay
- Design of optimal lighting control strategy based on multi-variable fractional-order extremum seeking method
- A review of definitions of fractional derivatives and other operators
- Model reference adaptive control in fractional order systems using discrete-time approximation methods
- Lyapunov functions for fractional order systems
- Fractional impulsive differential equations: exact solutions, integral equations and short memory case
- Short memory principle and a predictor-corrector approach for fractional differential equations
- Periodic impulsive fractional differential equations
- The short memory principle for solving Abel differential equation of fractional order
- Analysis and numerical methods for fractional differential equations with delay
- Memory-dependent derivative versus fractional derivative. II: Remodelling diffusion process
- Applications of variable-order fractional operators: a review
- New variable-order fractional chaotic systems for fast image encryption
- Fractional-Order Control Systems
- Stochastic Barbalat's Lemma and Its Applications
- Short memory fractional differential equations for new memristor and neural network design
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