Adaptation of differential transform method for the numeric-analytic solution of fractional-order Rössler chaotic and hyperchaotic systems
DOI10.1155/2012/934219zbMath1237.37058OpenAlexW2093732625WikidataQ58697122 ScholiaQ58697122MaRDI QIDQ417227
Publication date: 14 May 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/934219
Runge-Kutta methodfractional-order Rössler chaotic and hyperchaotic systemsgeneralized differential transform method (GDTM)
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximation methods and numerical treatment of dynamical systems (37M99) Fractional ordinary differential equations (34A08)
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Cites Work
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- The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics
- An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells
- An equation for hyperchaos
- Recent history of fractional calculus
- Application of generalized differential transform method to multi-order fractional differential equations
- A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
- Fractional order dynamics in a GA planner
- A multi-step differential transform method and application to non-chaotic or chaotic systems
- A model of gear transmission: fractional order system dynamics
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An equation for continuous chaos
- A generalized differential transform method for linear partial differential equations of fractional order
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
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