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

Kuwait Journal of Science

Mohsen Alipour¹ 

[1] Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology,P.O. Box 47148-71167, Babol, Iran.

关键词: Bernstein polynomials;    operational matrices;    Multi-order multi-dimensional Fractional optimal control problem;    Riemann-Liouville fractional integral;    Caputo fractional derivative;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

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 thesematrices, 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.

【 授权许可】

Unknown