A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations - Egyptian Knowledge Bank

387518

A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations

Article

Last updated: 05 Jan 2025

Subjects

Abstract

In the present paper, we apply the Bezier curves method for solving fractional optimal
control problems (OCPs) and fractional Riccati differential equations. The main advantage of this
method is that it can reduce the error of the approximate solutions. Hence, the solutions obtained
using the Bezier curve method give good approximations. Some numerical examples are provided
to confirm the accuracy of the proposed method. All of the numerical computations have been per-
formed on a PC using several programs written in MAPLE 13.

DOI

10.1016/j.joems.2015.12.003

Keywords

Fractional derivative, Fractional optimal control problem, Caputo fractional deriva- tive

Authors

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First Name

Last Name

Ghomanjani

MiddleName

Affiliation

Kashmar Higher Education Institute, Kashmar, Iran

Email

City

Orcid

Volume

Article Issue

Related Issue

51066

Issue Date

2016-12-01

Receive Date

2024-10-22

Publish Date

2016-12-01

Page Start

638

Page End

643

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 4_Pages 638-643.pdf

PDF . 468.5kB

Link

https://joems.journals.ekb.eg/article_387518.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387518

Order

387,518

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle