Solving fractional optimal control problems using Genocchi polynomials

Author(s):

Maryam Arablouye Moghaddam , Yousef Edrisi Tabriz * , Mehrdad Lakestani

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we solve a class of fractional optimal control problems in the sense of Caputo derivative using Genocchi polynomials. At first we present some properties of these polynomials and we make the Genocchi operational matrix for Caputo fractional derivatives. Then using them, we solve the problem by converting it to a system of algebraic equations. Some examples are presented to show the efficiency and accuracy of the method.
Keywords:

Optimal Control Problems , Caputo fractional derivative , Genocchi polynomials , Operational matrix

Language:
English
Published:
Computational Methods for Differential Equations, Volume:9 Issue: 1, Winter 2021
Pages:
79 to 93
https://www.magiran.com/p2232578