NUMERICAL SOLUTION OF NON-HOMOGENOUS FRACTIONAL OSCILLATOR EQUATION IN INTEGRAL FORM

作者：Ciesielski Mariusz^*; Blaszczyk Tomasz

来源：Journal of Theoretical and Applied Mechanics, 2015, 53(4): 959-968.

DOI：10.15632/jtam-pl.53.4.959

• fractional oscillator equation
• fractional integral equation
• numerical solution

In this paper, a non-homogenous fractional oscillator equation in finite time interval is considered. The fractional equation with derivatives of order a is an element of ( 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.

• 出版日期2015