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Journal of Pure and Applied Mathematics

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A numerical approach for solving a class of fractional optimal control problems using Genocchi polynomials

Author(s): Maryam Arablouye Moghaddam, Yousef Edrisi Tabriz*, Mehrdad Lakestani

In this paper, an efficient and accurate computational method based on the Genocchi polynomials is proposed for solving a class of fractional optimal control problems. In the proposed method, the Caputo fractional derivative operator for the Genocchi polynomials is given. The proposed technique is applied to transform the state and control variables into non-linear programing parameters at collocation points. The most important advantages of our method are easy implementation, simple operations. Some illustrative examples are presented to show the efficiency and accuracy of the method.


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Citations : 83

Journal of Pure and Applied Mathematics received 83 citations as per Google Scholar report

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