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

Ciesielski M., Błaszczyk T.

Journal of Theoretical and Applied Mechanics

2015

Vol. 53 nr 4

959--968

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

Application of the Rayleigh-Ritz method for solving fractional oscillator equation

Błaszczyk T.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2009

Vol. 8, nr 2

29-36

In this work a fractional oscillator equation is considered. This type of equation includes a composition of left and right fractional derivatives. A scheme based on the variational Rayleigh-Ritz method is proposed to obtain a numerical solution of the problem.