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.
Arablouye Moghaddam, M. , Edrisi Tabriz, Y. and Lakestani, M. (2021). Solving fractional optimal control problems using Genocchi polynomials. Computational Methods for Differential Equations, 9(1), 79-93. doi: 10.22034/cmde.2020.40292.1759
MLA
Arablouye Moghaddam, M. , , Edrisi Tabriz, Y. , and Lakestani, M. . "Solving fractional optimal control problems using Genocchi polynomials", Computational Methods for Differential Equations, 9, 1, 2021, 79-93. doi: 10.22034/cmde.2020.40292.1759
HARVARD
Arablouye Moghaddam, M., Edrisi Tabriz, Y., Lakestani, M. (2021). 'Solving fractional optimal control problems using Genocchi polynomials', Computational Methods for Differential Equations, 9(1), pp. 79-93. doi: 10.22034/cmde.2020.40292.1759
CHICAGO
M. Arablouye Moghaddam , Y. Edrisi Tabriz and M. Lakestani, "Solving fractional optimal control problems using Genocchi polynomials," Computational Methods for Differential Equations, 9 1 (2021): 79-93, doi: 10.22034/cmde.2020.40292.1759
VANCOUVER
Arablouye Moghaddam, M., Edrisi Tabriz, Y., Lakestani, M. Solving fractional optimal control problems using Genocchi polynomials. Computational Methods for Differential Equations, 2021; 9(1): 79-93. doi: 10.22034/cmde.2020.40292.1759
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