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Title: A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems
Author: Jahanshahi, S.
Torres, D. F. M.
Keywords: Fractional derivatives
Fractional integrals
Fractional optimal control
Fractional variational problems
Ritz’s method
Issue Date: 2017
Publisher: Springer
Abstract: We develop a simple and accurate method to solve fractional variational and fractional optimal control problems with dependence on Caputo and Riemann–Liouville operators. Using known formulas for computing fractional derivatives of polynomials, we rewrite the fractional functional dynamical optimization problem as a classical static optimization problem. The method for classical optimal control problems is called Ritz’s method. Examples show that the proposed approach is more accurate than recent methods available in the literature. © 2016, Springer Science+Business Media New York.
Peer review: yes
DOI: 10.1007/s10957-016-0884-3
ISSN: 0022-3239
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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