Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/18736
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 |
URI: | http://hdl.handle.net/10773/18736 |
DOI: | 10.1007/s10957-016-0884-3 |
ISSN: | 0022-3239 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[339]JOTA_Jahanshahi_Torres.pdf | 628.42 kB | Adobe PDF |
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