Computational Method Based on Bernstein Polynomials for Solving a Fractional Optimal Control Problem

Authors

  • Mohsen Alipour Department of Mathematics, Faculty of Basic Science, Babol University of Technology, P.O. Box 47148-71167, Babol, Iran.
  • Rahmat Ali Khan Department of Mathematics, University of Malakand, Dir Lower, P. O. Box 18000, Khyber Pakhtunkhwa, Pakistan.
  • Hasib Khan Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, P. O. Box 18000, Khyber Pakhtunkhwa, Pakistan.
  • Kobra Karimi Department of Mathematics, Buin Zahra Technical University, P.O. Box 34517-45346, Buin Zahra, Qazvin, Iran.

Keywords:

Fractional optimal control problems, Bernstein polynomials, Operational matrices

Abstract

The study of optimal control problems (OCPs) are of great importance in our day life. In literature, there are many articles on the
numerical solutions of OCPs on different mathematical methods. In this paper we are supposed to have the numerical solution of a fractional OCP by the help of operational matrices of Bernstein polynomials(BPs). Operational matrices of BPs are one of the most popular numerical approach for this study. This approach is quite simple in handling and very good results have been observed in literature by the virtue of this method. The simplicity and efficiency of the proposed method is checked on some illustrative examples.

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Published

2016-06-30

Issue

Vol. 48 No. 1 (2016)

Section

Articles

How to Cite

Computational Method Based on Bernstein Polynomials for Solving a Fractional Optimal Control Problem. (2016). Punjab University Journal of Mathematics, 48(1), 1-9. https://pujm.pu.edu.pk/index.php/pujm/article/view/56