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On Ritz Approximation For A Class Of Fractional Optimal Control Problems

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohammad Arab Firoozjaee & Hossein Jafari & Sarah Jane Johnston & Dumitru Baleanu, 2022. "On Ritz Approximation For A Class Of Fractional Optimal Control Problems," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-7, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402010
    DOI: 10.1142/S0218348X22402010
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