Year: 2017
Author: Tomasz Blaszczyk, Mariusz Ciesielski
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 1 : pp. 173–185
Abstract
In this paper the fractional Euler-Lagrange equation is considered. The fractional equation with the left and right Caputo derivatives of order α ∈ (0,1] is transformed into its corresponding integral form. Next, we present a numerical solution of the integral form of the considered equation. On the basis of numerical results, the convergence of the proposed method is determined. Examples of numerical solutions of this equation are shown in the final part of this paper.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2015.m970
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 1 : pp. 173–185
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Fractional Euler-Lagrange equation fractional integral equation numerical solution Caputo derivatives.
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