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Solving fractional optimal control problems using Genocchi polynomials | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 9، شماره 1، فروردین 2021، صفحه 79-93 اصل مقاله (335.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.40292.1759 | ||
| نویسندگان | ||
| Maryam Arablouye Moghaddam1؛ Yousef Edrisi Tabriz* 1؛ Mehrdad Lakestani2 | ||
| 1Department of Mathematics, Payame Noor University, Tehran, Iran. | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Optimal control problems؛ Caputo fractional derivative؛ Genocchi polynomials؛ Operational matrix | ||
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