Mittag-Leffler stability, control, and synchronization for chaotic generalized fractional-order systems
From MaRDI portal
Publication:2110467
DOI10.1186/s13662-022-03721-9OpenAlexW4285491165MaRDI QIDQ2110467
Tarek M. Abed-Elhameed, Tarek Aboelenen
Publication date: 21 December 2022
Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-022-03721-9
Mittag-Leffler functionsynchronizationchaotic systemscontrol methodsgeneralized fractional orderLypunov direct method
Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for smooth dynamical systems (37C75)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive sliding mode synchronization for a class of fractional-order chaotic systems with disturbance
- Finite-time stabilizing a fractional-order chaotic financial system with market confidence
- New approach to a generalized fractional integral
- On control and synchronization in chaotic and hyperchaotic systems via linear feedback control
- Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment
- Fractional electromagnetic equations using fractional forms
- Projective synchronization of fractional-order memristor-based neural networks
- Anomalous diffusion modeling by fractal and fractional derivatives
- Fractional-order systems and controls. Fundamentals and applications
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations
- Chaos control of integer and fractional orders of chaotic Burke-Shaw system using time delayed feedback control
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Time fractional diffusion: A discrete random walk approach
- Stability analysis of generalized neutral fractional differential systems with time delays
- Stability analysis for generalized fractional differential systems and applications
- Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control
- Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives
- On boundedness and projective synchronization of distributed order neural networks
- Generalized Wright stability for distributed fractional-order nonlinear dynamical systems and their synchronization
- Lyapunov functions for fractional order systems
- Linear control of fractional-order financial chaotic systems with input saturation
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- On the generalized fractional derivatives and their Caputo modification
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators
- Properties of the Katugampola fractional derivative with potential application in quantum mechanics
- Fractional Calculus
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
