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Using the Generalize Laguerre Operational Matrix for The Caputo Fractional Derivatives to Solve Some Classes of Fractional Optimal Control Problems by Mushtaq salh Ali; Basim Albuohimad; Mohammed K Almoaeet is a Physics and Astronomy article available to read on EtoBox.

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## Abstract This paper aims to develop the new numerical solution method of the fractional optimal control problems (FOCPs) based on the generalized Laguerre polynomials. The generalize Laguerre operational matrix for the Caputo fractional derivatives has been derived. The operational matrix was used together with the properties of the generalized Laguerre orthonormal polynomials to reduce FOCPs to the system of algebraic equations by the direct method. Five examples are included to demonstrate efficient and accurate numerical algorithms for some classes of FOCPs is considered.

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Author

Mushtaq salh Ali; Basim Albuohimad; Mohammed K Almoaeet

Publisher

IOP Publishing

Published

2021

Language

EN

Field

Physics and Astronomy (Physical Sciences)