Journal of Theoretical
and Applied Mechanics

53, 4, pp. 959-968, Warsaw 2015
DOI: 10.15632/jtam-pl.53.4.959

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

Mariusz Ciesielski, Tomasz Błaszczyk
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.
Keywords: fractional oscillator equation, fractional integral equation, numerical solution