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- Title
Solving fractional optimal control problems using Genocchi polyno-mials.
- Authors
Moghaddam, Maryam Arablouye; Tabriz, Yousef Edrisi; Lakestani, Mehrdad
- 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 effciency and accuracy of the method.
- Subjects
OPTIMAL control theory; PROBLEM solving; POLYNOMIALS; ALGEBRAIC equations; FRACTIONAL calculus
- Publication
Computational Methods for Differential Equations, 2021, Vol 9, Issue 1, p79
- ISSN
2345-3982
- Publication type
Article
- DOI
10.22034/cmde.2020.40292.1759