An approximation of the analytical solution of the fractional Euler-Lagrange equation
Mariusz Ciesielski, Tomasz Błaszczyk
Journal of Applied Mathematics and Computational Mechanics · 2013
doi:10.17512/jamcm.2013.4.03 (opens in a new tab)
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Abstract
In this paper the fractional Euler-Lagrange equation of order α ∈ (0, 1] in the finite time interval is considered.This equation is transformed to the integral form by the use of the fractional integral operators.Next, the numerical approximation of the analytical solution is presented.Finally, some examples of numerical solutions are presented.
Abstract licence: CC BY-NC-ND
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