Numerical Algorithm for Dynamic Problems Involving Fractional Operators

抄録

This paper presents the numerical method for dynamic problems involving fractional operators.Based on Liouville-Riemann's definition of fractional derivatives, the algorithm is developed by incorporating one-step schemes of well-known Newmark types into our own formula.The scheme has the merit of excellent operational characteristics and the simplicity of application.Numerical experiments were given to show the superiority and effectiveness of the algorithm.