Nonlinear nabla variable-order fractional discrete systems: asymptotic stability and application to neural networks
From MaRDI portal
Publication:2112675
DOI10.1016/j.cam.2022.114939zbMath1505.39007OpenAlexW4309348246MaRDI QIDQ2112675
Amel Hioual, Adel Ouannas, Taki-Eddine Oussaeif, Giuseppe Grassi
Publication date: 11 January 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114939
asymptotic stabilitynumerical simulationsdiscrete-time variable-order neural networksvariable-order fractional discrete systemsvariable-order nabla discrete operator
Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Stability theory for difference equations (39A30)
Cites Work
- Unnamed Item
- Hyers-Ulam stability of fractional nabla difference equations
- On Hyers-Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum
- Finite time stability of fractional delay difference systems: a discrete delayed Mittag-Leffler matrix function approach
- Global Mittag-Leffler stability and synchronization of discrete-time fractional-order complex-valued neural networks with time delay
- Existence and finite-time stability of discrete fractional-order complex-valued neural networks with time delays
- Variable-order fractional discrete-time recurrent neural networks
- A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems
- Quasi-stability and quasi-synchronization control of quaternion-valued fractional-order discrete-time memristive neural networks
- Discrete Fractional Calculus
- Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field
- Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system
- Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations
- Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique
- Ulam‐Hyers stability of Caputo fractional difference equations
- Mittag-Leffler stability of nabla discrete fractional-order dynamic systems