Numerical solution of non-homogenous fractional oscillator equation in integral form

In this paper, a non-homogenous fractional oscillator equation in finite time interval is considered. The fractional equation with derivatives of order αϵ(0,1] is transformed into its corresponding integral form. Next, a numerical solution of the integral form of the considered equation is presented. In the final part of this paper, some examples of numerical solutions of the considered equation are shown.