A new optimal homotopy asymptotic method for fractional optimal control problems

Okundalaye, Oluwaseun Olumide and Othman, Wan Ainun Mior (2021) A new optimal homotopy asymptotic method for fractional optimal control problems. International Journal of Differential Equations, 2021. ISSN 1687-9643, DOI https://doi.org/10.1155/2021/6633130.

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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 011AM 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.

Item Type: Article
Uncontrolled Keywords: Approximation;Fractional differential equations;Optimal homotopy asymptotic method
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science
Depositing User: Ms Zaharah Ramly
Date Deposited: 07 Sep 2022 04:04
Last Modified: 07 Sep 2022 04:04
URI: http://eprints.um.edu.my/id/eprint/34837

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