Efficient technique for solving variable order fractional optimal control problems

Efficient technique for solving variable order fractional optimal control problems

We apply a novel computation approach to determine the numerical solution of variable-order fractional optimal control problems. The dynamic constraint of these problems is considered with variable-order (VO) fractional derivatives. The numerical procedure is based on the Genocchi polynomials. To ca...

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Bibliographic Details
Main Author: Haleh Tajadodi
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Alexandria Engineering Journal
Subjects:
34A08
26A33
65M70
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820305019
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record_format Article
spelling doaj-be4a8f8202124981a15ebf42a8b840cf2021-06-02T15:22:34ZengElsevierAlexandria Engineering Journal1110-01682020-12-0159651795185Efficient technique for solving variable order fractional optimal control problemsHaleh Tajadodi0Department of Mathematics, University of Sistan and Baluchestan, Zahedan, IranWe apply a novel computation approach to determine the numerical solution of variable-order fractional optimal control problems. The dynamic constraint of these problems is considered with variable-order (VO) fractional derivatives. The numerical procedure is based on the Genocchi polynomials. To carry out the suggested technique, the Genocchi operational matrix of the VO fractional integral is calculated. By utilizing the mentioned operational matrix and the Gauss–Legendre quadrature rule, a system of equations is made. Then, the produced system is simply solved. Some numerical examples are given. The obtained results show the applicability and usefulness of the numerical technique.http://www.sciencedirect.com/science/article/pii/S111001682030501934A0826A3365M70
collection DOAJ
language English
format Article
sources DOAJ
author Haleh Tajadodi
spellingShingle Haleh Tajadodi
Efficient technique for solving variable order fractional optimal control problems
Alexandria Engineering Journal
34A08
26A33
65M70
author_facet Haleh Tajadodi
author_sort Haleh Tajadodi
title Efficient technique for solving variable order fractional optimal control problems
title_short Efficient technique for solving variable order fractional optimal control problems
title_full Efficient technique for solving variable order fractional optimal control problems
title_fullStr Efficient technique for solving variable order fractional optimal control problems
title_full_unstemmed Efficient technique for solving variable order fractional optimal control problems
title_sort efficient technique for solving variable order fractional optimal control problems
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2020-12-01
description We apply a novel computation approach to determine the numerical solution of variable-order fractional optimal control problems. The dynamic constraint of these problems is considered with variable-order (VO) fractional derivatives. The numerical procedure is based on the Genocchi polynomials. To carry out the suggested technique, the Genocchi operational matrix of the VO fractional integral is calculated. By utilizing the mentioned operational matrix and the Gauss–Legendre quadrature rule, a system of equations is made. Then, the produced system is simply solved. Some numerical examples are given. The obtained results show the applicability and usefulness of the numerical technique.
topic 34A08
26A33
65M70
url http://www.sciencedirect.com/science/article/pii/S1110016820305019
work_keys_str_mv AT halehtajadodi efficienttechniqueforsolvingvariableorderfractionaloptimalcontrolproblems
_version_ 1721403290099384320

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