An optimum method for fractal-fractional optimal control and variational problems

被引：5
作者：
Dehestani, Haniye [1 ]
Ordokhani, Yadollah [1 ]
机构：
[1] Alzahra Univ, Fac Math Sci, Dept Math, Tehran, Iran
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2023年 / 11卷 / 01期
关键词：
Fractal-fractional derivative; Optimal control problems; Variational problems; Pell-Lucas polynomials; Legendre-Gauss quadrature rule; Bibliometric analysis; MODEL; PELL;
D O I：
10.1007/s40435-022-00978-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we design a new computational algorithm for solving fractal-fractional optimal control and variational problems. To attain the proposed goal, we exert Pell-Lucas polynomials and the Legendre-Gauss quadrature rule. Also, to improve the accuracy of the numerical scheme, we present a new method for calculating the operational matrix of FF-derivative. The proposed operational matrix is called pseudo-operational matrix which is in comparison with the usual operational matrix is more accurate. Furthermore, the experimental results including a comparison to another method are expressed in the last section.
引用
收藏
页码：229 / 241
页数：13
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