Multiple Time Scales Solution of an Equation with Quadratic and Cubic Nonlinearities Having Fractional- Order Derivative

Mathematical and Computational Applications

Dal, Fadime¹ 

关键词: Fractional differential equation;    Caputo fractional derivative;    Nonlinear vibrations;    Multiple time Scales method;   

DOI  :  10.3390/mca16010301

学科分类：计算数学

来源: mdpi

【 摘 要 】

Nonlinear 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.

【 授权许可】

CC BY