A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations
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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X16000237 |
| Summary: | 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 performed on a PC using several programs written in MAPLE 13. |
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| ISSN: | 1110-256X |