On two improved numerical algorithms for vibration analysis of systems involving fractional derivatives

Zhang and Shimizu (1998) proposed a numerical algorithm based on Newmark method to calculate the dynamic response of mechanical systems involving fractional derivatives. On basis Runge-Kutta-Nyström method, present study proposes two new algorithms, namely, improved using second order derivative solve differential equations vibration systems. The accuracy algorithms is investigated in detail by simulation. simulation result demonstrated that for analysis derivatives more effective than Shimizu.