@Article{AAMM-9-173,
author = {Blaszczyk , Tomasz and Ciesielski , Mariusz},
title = {Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {9},
number = {1},
pages = {173--185},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m970},
url = {http://global-sci.org/intro/article_detail/aamm/12143.html}
}