Necessary conditions to a fractional variational problem

Melani Barrios (), Gabriela Reyero and Mabel Tidball
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Melani Barrios: Universidad Nacional de Rosario [Santa Fe]
Gabriela Reyero: Universidad Nacional de Rosario [Santa Fe]
Mabel Tidball: CEE-M - Centre d'Economie de l'Environnement - Montpellier - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - Institut Agro Montpellier - Institut Agro - Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement - UM - Université de Montpellier

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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.

Keywords: Fractional Derivatives and Integrals; Fractional Ordinary Differential Equations; Variational Problems Mathematics (search for similar items in EconPapers)
Date: 2022
Note: View the original document on HAL open archive server: https://hal.inrae.fr/hal-03549534v1
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Published in Statistics, Optimization and Information Computing, 2022, 10 (2)

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