Numerical investigation for handling fractional-order Rabinovich-Fabrikant model using the multistep approach
DOI10.1007/s00500-016-2378-5zbMath1398.65174OpenAlexW2527845113MaRDI QIDQ1797762
Asad Freihat, Khaled Moaddy, Eman Abuteen, Mohammed Al-Smadi, Ishak Hashim
Publication date: 22 October 2018
Published in: Soft Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00500-016-2378-5
differential transform methodgeneralized Taylor expansionfractional Rabinovich-Fabrikant modelmultistep approach
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Fractional ordinary differential equations (34A08)
Related Items (16)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A general form of the generalized Taylor's formula with some applications
- Novel techniques in parameter estimation for fractional dynamical models arising from biological systems
- Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
- A necessary condition for double scroll attractor existence in fractional-order systems
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
- A note on the fractional-order Volta's system
- The fractional quantum derivative and its integral representations
- Application of generalized differential transform method to multi-order fractional differential equations
- Stability analysis of linear fractional differential system with multiple time delays
- Generalized Taylor's formula
- Mathematical modeling of time fractional reaction-diffusion systems
- Chaotic attractors in incommensurate fractional order systems
- A hyperchaotic system from the Rabinovich system
- A multi-step differential transform method and application to non-chaotic or chaotic systems
- Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional quantum mechanics and Lévy path integrals
- Chaos control of fractional order Rabinovich-Fabrikant system and synchronization between chaotic and chaos controlled fractional order Rabinovich-Fabrikant system
- Analytical study of fractional-order multiple chaotic FitzHugh-Nagumo neurons model using multistep generalized differential transform method
- Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method
- Fractional sequential mechanics - models with symmetric fractional derivative.
- A generalized differential transform method for linear partial differential equations of fractional order
- Numerical Multistep Approach for Solving Fractional Partial Differential Equations
This page was built for publication: Numerical investigation for handling fractional-order Rabinovich-Fabrikant model using the multistep approach