Numerical solutions of a variable-order fractional financial system

The numerical solution of a variable-order fractional financial system is calculated by using the adams-bashforth-moulton method. the derivative is defined in the caputo variable-order fractional sense. numerical examples show that the adams-bashforth-moulton method can be applied to solve such variable-order fractional differential equations simply and effectively. the convergent order of the method is also estimated numerically. moreover,the stable equilibrium point,quasiperiodic trajectory,and chaotic attractor are found in the variable-order fractional financial system with proper order functions. © 2012 shichang ma et al.