Open AccessNumerical Simulation of the Nonlinear Fractional Dynamical Systems with Fractional Damping for the Extensible and Inextensible Pendulum
Author(s) -
Cui-Ying Yin,
Fawang Liu,
Vo Anh
Publication year - 2007
Publication title -
journal of algorithms and computational technology
Language(s) - English
Resource type - Journals
eISSN - 1748-3026
pISSN - 1748-3018
DOI - 10.1260/174830107783133888
Subject(s) - nonlinear system , fractional calculus , mathematics , ordinary differential equation , dynamical systems theory , pendulum , double pendulum , dynamical system (definition) , control theory (sociology) , mathematical analysis , differential equation , inverted pendulum , physics , computer science , control (management) , quantum mechanics , artificial intelligence
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally effective fractional predictor-corrector method is used to simulate and examine the effects and solution behavior of the nonlinear dynamical systems with fractional damping for extensible and inextensible pendulum. The corresponding error analysis is derived. Finally, some numerical examples are given. This method and technique can be applied to solve other fractional-order ordinary differential equations