Fractional oscillator equation – Transformation into integral equation and numerical solution

Tomasz Blaszczyk and Mariusz Ciesielski

Applied Mathematics and Computation, 2015, vol. 257, issue C, 428-435

Abstract: In this paper we propose a numerical solution of a fractional oscillator equation (being a class of the fractional Euler–Lagrange equation). At first, we convert the fractional differential equation of order α>0 to an equivalent integral equation (including boundary conditions). Next, we present a numerical solution of the integral form of the considered equation for two cases: α∈(0,1] and α∈(1,2]. We show illustrative examples of solutions for checking the correctness of the proposed solution method of the equation. Also, we determine the convergence order of numerical schemas.

Keywords: Fractional Euler–Lagrange equation; Fractional oscillator; Fractional integral equation; Numerical solution (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314017834
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:428-435

DOI: 10.1016/j.amc.2014.12.122

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().