A new optimal homotopy asymptotic method for fractional optimal control problems
type: Item
instance of: scholarly article
title: A new optimal homotopy asymptotic method for fractional optimal control problems
zbMATH Open document ID: 1479.49022
DOI: 10.1155/2021/6633130
author: Oluwaseun Olumide Okundalaye
author: Wan Ainun Mior Othman
published in: International Journal of Differential Equations
publication date: 2022-01-06T00:00:00Z
review text: Summary: Solving fractional optimal control problems (FOCPs) with an approximate analytical method has been widely studied by many authors, but to guarantee the convergence of the series solution has been a challenge. We solved this by integrating the Galerkin method of optimization technique into the whole region of the governing equations for accurate optimal values of control-convergence parameters \(C_j^s\). The arbitrary-order derivative is in the conformable fractional derivative sense. We use Euler-Lagrange equation form of necessary optimality conditions for FOCPs, and the arising fractional differential equations (FDEs) are solved by optimal homotopy asymptotic method (OHAM). The OHAM technique speedily provides the convergent approximate analytical solution as the arbitrary order derivative approaches 1. The convergence of the method is discussed, and its effectiveness is verified by some illustrative test examples.
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 49M41
zbMATH DE Number: 7453304
Wikidata QID: Q115243654
describes a project that uses: CasADi
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6633130
OpenAlex ID: W3163832419
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description: scientific article; zbMATH DE number 7453304