Title of article :
MULTIPLE TIME SCALES SOLUTION OF AN EQUATION WITH QUADRATIC AND CUBIC NONLINEARITIES HAVING FRACTIONAL- ORDER DERIVATIVE
Author/Authors :
Dal, Fadime Ege University - Department of Mathematics, Turkey
Abstract :
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.
Keywords :
Fractional differential equation , Caputo fractional derivative , Nonlinear vibrations , Multiple time Scales method
Journal title :
mathematical and computational applications
Journal title :
mathematical and computational applications
