University of Tabriz Computational Methods for Differential Equations 2345-3982 10 3 2022 07 01 A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials 755 773 12798 10.22034/cmde.2021.39419.1728 EN 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 19395-3697, Tehran, Iran. Fahimeh Soltanian Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran. Journal Article 2020 04 27 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. https://cmde.tabrizu.ac.ir/article_12798_0e1c946327249f311a2ca7c3734f6c5a.pdf