Title of article
A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials
Author/Authors
Alavi, Ali Department of Mathematics - Payame Noor University, Tehran, Iran , Haghighi, Ahmadreza Department of Mathematics - Technical and Vocational University, Tehran, Iran , Yari, Ayatollah Department of Mathematics - Payame Noor University, Tehran, Iran , Soltanian, Fahimeh Department of Mathematics - Payame Noor University, Tehran, Iran
Pages
19
From page
755
To page
773
Abstract
This paper presents a numerical method for solving a class of fractional optimal control problems (FOCPs) based on numerical polynomial approximation. The fractional derivative in the dynamic system is described in the Caputo sense. We used the approach to approximate the state and control functions by the Mott polynomials (M-polynomials). We introduced the operational matrix of fractional Riemann-Liouville integration and apply it to approximate the fractional derivative of the basis. We investigated the convergence of the new method and some examples are included to demonstrate the validity and applicability of the proposed method.
Keywords
Operational matrix , Mott polynomials basis , Caputo derivative , Fractional optimal control problem
Journal title
Computational Methods for Differential Equations
Serial Year
2022
Record number
2720647
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