Müntz–Legendre spectral collocation method for solving delay fractional optimal control problems

2019 ◽  
Vol 351 ◽  
pp. 344-363 ◽  
Author(s):  
Soleiman Hosseinpour ◽  
Alireza Nazemi ◽  
Emran Tohidi
Keyword(s):  
Optimal Control ◽  
Collocation Method ◽  
Optimal Control Problems ◽  
Spectral Collocation Method ◽  
Control Problems ◽  
Spectral Collocation ◽  
Fractional Optimal Control ◽  
Fractional Optimal Control Problems

The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems

2011 ◽  
Vol 17 (13) ◽  
pp. 2059-2065 ◽  
Author(s):  
SA Yousefi ◽  
A Lotfi ◽  
M Dehghan
Keyword(s):  
Optimal Control ◽  
Exact Solution ◽  
Approximate Solution ◽  
Collocation Method ◽  
Algebraic System ◽  
Optimal Control Problems ◽  
New Method ◽  
Control Problems ◽  
Fractional Optimal Control ◽  
Fractional Optimal Control Problems

In this article the Legendre multiwavelet basis with the aid of a collocation method has been applied to give the approximate solution for the fractional optimal control problems (FOCPs). The properties of the Legendre multiwavelet are presented. These properties together with the collocation method are then utilized to reduce the problem to the solution of an algebraic system. Numerical results and a comparison with the exact solution in the cases when we have an exact solution are given to demonstrate the applicability and efficiency of the new method.

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