ON RITZ APPROXIMATION FOR A CLASS OF FRACTIONAL OPTIMAL CONTROL PROBLEMS-Reference-Cited by-同舟云学术

ON RITZ APPROXIMATION FOR A CLASS OF FRACTIONAL OPTIMAL CONTROL PROBLEMS

Published:2022-10-03 Issue:08 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

FIROOZJAEE MOHAMMAD ARAB¹,JAFARI HOSSEIN²³⁴,JOHNSTON SARAH JANE²,BALEANU DUMITRU⁵⁶⁷

Affiliation:

1. Department of Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran

2. Department of Mathematical Sciences, University of South Africa, UNISA 0003, South Africa

3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan

4. Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli, 71, Baku AZ1007, Azerbaijan

5. Department of Mathematics, Faculty of Art and Sciences, Çankaya University, Ankara, Turkey

6. Lebanese American University, 11022801 Beirut, Lebanon

7. Institute of Space Sciences, Magurele–Bucharest, Romania

Abstract

We apply the Ritz method to approximate the solution of optimal control problems through the use of polynomials. The constraints of the problem take the form of differential equations of fractional order accompanied by the boundary and initial conditions. The ultimate goal of the algorithm is to set up a system of equations whose number matches the unknowns. Computing the unknowns enables us to approximate the solution of the objective function in the form of polynomials.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22402010

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