Dal F.2019-10-262019-10-2620111300-686Xhttps://hdl.handle.net/11454/19383Nonlinear vibrations of quadratic and cubic system are considered. The equation of motion includes fractional order term. Multiple time scales (a perturbation method) solution of the system is developed. Effect of fractional order derivative term is discussed. © Association for Scientific Research.eninfo:eu-repo/semantics/closedAccessCaputo fractional derivativeFractional differential equationMultiple time scales methodNonlinear vibrationsMultiple time scales solution of an equation with quadratic and cubic nonlinearities having fractional-order derivativeArticle161301308N/A