Solving fractional optimal control problems using Genocchi polynomials

被引：12

作者：

Moghaddam, Maryam Arablouye ^{[1
]}

Tabriz, Yousef Edrisi ^{[1
]}

Lakestani, Mehrdad ^{[2
]}

机构：

[1] Payame Noor Univ, Dept Math, Tehran, Iran

[2] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2021年 / 9卷 / 01期

关键词：

Optimal control problems; Caputo fractional derivative; Genocchi polynomials; Operational matrix; APOSTOL-BERNOULLI; IDENTITIES;

D O I：

10.22034/cmde.2020.40292.1759

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we solve a class of fractional optimal control problems in the sense of Caputo derivative using Genocchi polynomials. At first we present some properties of these polynomials and we make the Genocchi operational matrix for Caputo fractional derivatives. Then using them, we solve the problem by converting it to a system of algebraic equations. Some examples are presented to show the efficiency and accuracy of the method.

引用

页码：79 / 93

页数：15

共 45 条

[1]

Agoh T, 2014, ELECTRON J COMB, V21

[2]

Alipour M., 2017, NEW OPERATINAL MATRI

[3]

[Anonymous], 2000, THESIS

[4]

[Anonymous], 1978, Introductory Functional Analysis with Application

[5]

ARACI S., 2014, INT J MATH MATH SCI

[6]

Araci S., 2012, HINDAWI PUBLISHING C

[7] THEOREMS ON GENOCCHI POLYNOMIALS OF HIGHER ORDER ARISING FROM GENOCCHI BASIS [J].

Araci, Serkan ;

Sen, Erdogan ;

Acikgoz, Mehmet .

TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (02) :473-482

[8]

Araci Serkan, 2011, [Honam Mathematical Journal, 호남수학학술지], V33, P261

[9] Biorthogonal multiwavelets on the interval for solving multidimensional fractional optimal control problems with inequality constraint [J].

Ashpazzadeh, Elmira ;

Lakestani, Mehrdad ;

Yildirim, Ahmet .

OPTIMAL CONTROL APPLICATIONS & METHODS, 2020, 41 (05) :1477-1494

[10]

Ashpazzadeh E, 2016, COMPUT METHODS DIFFE, V4, P99

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