Dynamical Analysis of a Prabhakar Fractional Chaotic Autonomous System
From MaRDI portal
Publication:6165075
DOI10.1007/978-3-031-06632-0_19zbMath1523.37102OpenAlexW4312600983MaRDI QIDQ6165075
Shiva Eshaghi, Yadollah Ordokhani
Publication date: 31 July 2023
Published in: Nonlinear Systems and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-06632-0_19
Lyapunov stabilitychaos controlchaos synchronizationchaotic behaviorsfractional regularized Prabhakar derivative
Fractional derivatives and integrals (26A33) Control problems involving ordinary differential equations (34H05) Dynamical systems in control (37N35) Fractional ordinary differential equations (34A08) Chaos control for problems involving ordinary differential equations (34H10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hilfer-Prabhakar derivatives and some applications
- On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
- General fractional calculus, evolution equations, and renewal processes
- Finite fractional Sturm-Liouville transforms for generalized fractional derivatives
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Study on chaos synchronization in the Belousov-Zhabotinsky chemical system.
- A comment on some new definitions of fractional derivative
- Hopf bifurcation, chaos control and synchronization of a chaotic fractional-order system with chaos entanglement function
- A practical guide to Prabhakar fractional calculus
- Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models
- Stability and dynamics of neutral and integro-differential regularized Prabhakar fractional differential systems
- Prabhakar-like fractional viscoelasticity
- The Prabhakar or three parameter Mittag-Leffler function: theory and application
- Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
- Why fractional derivatives with nonsingular kernels should not be used
- Models of dielectric relaxation based on completely monotone functions
- Chaos control and synchronization in a fractional neuron network system
- Lyapunov inequality for fractional differential equations with Prabhakar derivative
- CHAOS ENTANGLEMENT: A NEW APPROACH TO GENERATE CHAOS
- Generalized mittag-leffler function and generalized fractional calculus operators
- Controlling chaos
- Fractional Diffusion--Telegraph Equations and Their Associated Stochastic Solutions
- Analytic solution of generalized space time fractional reaction diffusion equation
- Time-fractional particle deposition in porous media
- Stability and chaos control of regularized Prabhakar fractional dynamical systems without and with delay
- Computation of the generalized Mittag-Leffler function and its inverse in the complex plane
- Stability of fractional-order systems with Prabhakar derivatives
