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A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials

Publish place: Computational Methods for Differential Equations، Vol: 10، Issue: 3
Publish Year: 1401
Type: Journal paper
Language: English
View: 216

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Link to this Paper:
https://civilica.com/doc/1595672

Document National Code:

JR_CMDE-10-3_015

Index date: 29 January 2023

A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials 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.

A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials Keywords:

Fractional optimal control problem , Caputo derivative , Mott polynomials basis , Operational matrix

A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials authors

Seyyed Ali Alavi

Department of Mathematics, Payame Noor University, Tehran, Iran.

Ahmadreza Haghighi

Department of Mathematics, Technical and Vocational University, Tehran, Iran.

Ayatollah Yari

Department of Mathematics, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

Fahimeh Soltanian

Department of Mathematics, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

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