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

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.
Language:
English
Published:
Computational Methods for Differential Equations, Volume:10 Issue: 3, Summer 2022
Pages:
755 to 773
https://www.magiran.com/p2455448  
سامانه نویسندگان
  • Ahmadreza Haghighi
    Author (2)
    Full Professor department of mathematics allahabad university, Allameh Tabataba'i University, Tehran, Iran
    Haghighi، Ahmadreza
  • Ayatollah Yari
    Corresponding Author (3)
    Assistant Professor Mathematis, Payame Noor University, Tehran, Iran
    Yari، Ayatollah
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