TY - EJOU AU - Yaslan, H. Çerdik TI - Variational Iteration Method for the Time-Fractional Elastodynamics of 3D Quasicrystals T2 - Computer Modeling in Engineering \& Sciences PY - 2012 VL - 86 IS - 1 SN - 1526-1506 AB - This paper presents the approximate analytical solutions to the time fractional differential equations of elasticity for 3D quasicrystals with initial conditions. These equations are written in the form of a vector partial differential equation of the second order. The time fractional vector partial differential equations with initial conditions are solved by variational iteration method (VIM). The fractional derivatives are described in the Caputo sense. Numerical example shows that the proposed method is quite effective and convenient for solving kinds of time fractional system of partial differential equations. KW - Time fractional anisotropic dynamic elasticity(3D) KW - Three-dimensional quasicrystals KW - Icosahedral quasicrystal KW - Variational iteration method KW - Caputo derivative DO - 10.3970/cmes.2012.086.029