Necessary conditions to a fractional variational problem

Melani Barrios; Gabriela Reyero; Mabel Tidball

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arXiv · 2104.04089

Necessary conditions to a fractional variational problem

Melani Barrios·Gabriela Reyero·Mabel Tidball

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Abstract

In order to solve fractional variational problems, there exist two theorems of necessary conditions: an Euler-Lagrange equation which involves Caputo and Riemann-Liouville fractional derivatives, and other Euler-Lagrange equation that involves only Caputo derivatives. In this article, we make a comparison solving a particular fractional variational problem with both methods to obtain some conclusions about which method gives the optimal solution.

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Melani Barrios, Gabriela Reyero, Mabel Tidball. 2021-04-08. Necessary conditions to a fractional variational problem. https://arxiv.org/abs/2104.04089

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