Application of Hat function for delay fractional optimal control problems
by Amir Ahmad Khajehnasiri; Reza Ezzati; Mostafa Safavi; A. Jafari
International Journal of Operational Research (IJOR), Vol. 48, No. 4, 2023

Abstract: In this paper, we present a special class of fractional operational matrices to find the solution of the delay optimal control problems of fractional order. The solution is based on the Hat functions. Despite the complexity of the solution for delay systems, the most advantages of using Hat functions are the efficiency, reliability, and simplicity. To illustrate the proposed method, some numerical examples have been presented. Comparison with other methods and the numerical results show that the given numerical method is so accurate and effective to find the approximate solution of fractional delay systems as well as the delay fractional optimal control problems.

Online publication date: Fri, 15-Dec-2023

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