Numerical study on multi-order multi-dimensional fractional optimal control problem in general form

Authors

  • Mohsen Alipour Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, P.O. Box 47148-71167, Babol, Iran.

Keywords:

Bernstein polynomials, operational matrices, Multi-order multi-dimensional Fractional optimal control problem, Riemann-Liouville fractional integral, Caputo fractional derivative

Abstract

The aim of this work is application of Bernstein polynomials (BPs) for solving multi-order multidimensional fractional optimal control problem (MOMDFOCP). Firstly, by the Bernstein basis, we introduce operational matrices for Riemann-Liouville fractional integral and product. Then, via these
matrices, we reduce the problem to the optimization problem. For solving this problem, we apply Lagrangian multipliers method. So, we can obtain approximate solution for MOMDFOCP. Results of some examples show that the obtained solutions are very accurate and in good agreement with exact solutions.

Author Biography

Mohsen Alipour, Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, P.O. Box 47148-71167, Babol, Iran.

Department of Mathematics

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Published

21-07-2017