1Dept. of Math., Faculty of Art & Sciences, Celal Bayar University, 45047, Manisa, Turkey
2Dept. of Civil Eng., Faculty of Engineering, Celal Bayar University, 45140 Manisa, Turkey
In this paper, the dynamical behavior of an axially moving string modeled by fractional derivative is investigated. The governing equation represented motion is solved by the method of multiple scales. Considering principal parametric resonance, the stability boundaries for string with simple supports are obtained. Numerical results indicate the effects of fractional damping on stability.