ON RITZ APPROXIMATION FOR A CLASS OF FRACTIONAL OPTIMAL CONTROL PROBLEMS

Mohammad Arab Firoozjaee, Hossein Jafari, Sarah Jane Johnston and Dumitru Baleanu
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Mohammad Arab Firoozjaee: Department of Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran
Hossein Jafari: ��Department of Mathematical Sciences, University of South Africa, UNISA 0003, South Africa‡Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan§Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli, 71, Baku AZ1007, Azerbaijan
Sarah Jane Johnston: ��Department of Mathematical Sciences, University of South Africa, UNISA 0003, South Africa
Dumitru Baleanu: �Department of Mathematics, Faculty of Art and Sciences, Çankaya University, Ankara, Turkey∥Lebanese American University, 11022801 Beirut, Lebanon**Institute of Space Sciences, Magurele–Bucharest, Romania

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-7

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.

Keywords: Fractional Optimal Control Problems; Optimal Control Problems; Polynomial Basis Functions; Caputo Fractional Derivative (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402010

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