Bps Operational Matrices for Solving Time Varying Fractional Optimal Control Problems
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Authors
Mohsen Alipour
- Department of Mathematics, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, Iran.
Davood Rostamy
- Department of Mathematics, Imam Khomeini International University, P.O. Box 34149-16818, Qazvin, Iran.
Abstract
In this paper, we present a method for solving time varying fractional optimal control problems by Bernstein polynomials. Firstly, we derive the Bernstein polynomials (BPs) operational matrix for the fractional derivative in the Caputo sense, which has not been undertaken before. This method reduces the problems to a system of algebraic equations. The results obtained are in good agreement with the existing ones in open literatures and the solutions approach to classical solutions as the order of the fractional derivatives approach to 1.
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ISRP Style
Mohsen Alipour, Davood Rostamy, Bps Operational Matrices for Solving Time Varying Fractional Optimal Control Problems, Journal of Mathematics and Computer Science, 6 (2013), no. 4, 292 - 304
AMA Style
Alipour Mohsen, Rostamy Davood, Bps Operational Matrices for Solving Time Varying Fractional Optimal Control Problems. J Math Comput SCI-JM. (2013); 6(4):292 - 304
Chicago/Turabian Style
Alipour, Mohsen, Rostamy, Davood. "Bps Operational Matrices for Solving Time Varying Fractional Optimal Control Problems." Journal of Mathematics and Computer Science, 6, no. 4 (2013): 292 - 304
Keywords
- Time varying fractional optimal control problems
- Bernstein polynomials
- operational matrix
- Caputo derivative.
MSC
References
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