Cardinal Hermit functions and their application in solving the time-delay fractional optimal control problems

Document Type : Original Article

Authors

Department of Mathematics,, Faculty of Mathematical Sciences,, Alzahra University, Tehran, Iran

Abstract

In this paper, a new numerical method for solving the fractional optimal control problem of the time delay is  presented. The fractional integral and the fractional derivative are the Riemann-Liouville type and the Caputo type, respectively. In this method, the cardinal Hermite functions are used as a basis to approximate functions. Moreover, we obtain the fractional and delay integral operational matrices and use them to solve this optimal control problem. Using the collocation method, the problem leads to a system of algebraic equations, that is solved by Newton's        iterative method. Finally, numerical examples are presented to investigate the efficiency of this method.
 

Keywords


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Volume 8, Issue 4 - Serial Number 32
January 2021
Pages 153-160
  • Receive Date: 20 August 2020
  • Revise Date: 16 June 2020
  • Accept Date: 26 October 2020
  • Publish Date: 21 December 2020