Ghomanjani, F. (2016). A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations. test, 24(4), 638-643. doi: 10.1016/j.joems.2015.12.003
F. Ghomanjani. "A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations". test, 24, 4, 2016, 638-643. doi: 10.1016/j.joems.2015.12.003
Ghomanjani, F. (2016). 'A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations', test, 24(4), pp. 638-643. doi: 10.1016/j.joems.2015.12.003
Ghomanjani, F. A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations. test, 2016; 24(4): 638-643. doi: 10.1016/j.joems.2015.12.003

A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations

Journal of the Egyptian Mathematical Society
Volume 24, Issue 4, 2016, Pages 638-643    PDF (457.56 K)
DOI: 10.1016/j.joems.2015.12.003
Author
F. Ghomanjani
Kashmar Higher Education Institute, Kashmar, Iran
Abstract
In the present paper, we apply the Bezier curves method for solving fractional optimal
control problems (OCPs) and fractional Riccati differential equations. The main advantage of this
method is that it can reduce the error of the approximate solutions. Hence, the solutions obtained
using the Bezier curve method give good approximations. Some numerical examples are provided
to confirm the accuracy of the proposed method. All of the numerical computations have been per-
formed on a PC using several programs written in MAPLE 13.
Keywords
Fractional derivative; Fractional optimal control problem; Caputo fractional deriva- tive
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