Analysis of the fractional oscillator for a mass attached to a stretched elastic wire

In this paper, we consider a fractional nonlinear oscillator for mass attached to stretched elastic wire. The coupling technique based on the complex transform and global residue harmonic balance method is proposed solving oscillator. approximated periodic solutions frequencies are provided without complicated computation discretization. frequency–amplitude relationship investigated show its monotonic property. Numerical approximations with integer or orders compared by some existing methods. results confirm effectiveness robustness of method.