Numerical solution of 1D and 2D fractional optimal control of system via Bernoulli polynomials

DOI10.1007/s40819-017-0435-0zbMath1383.65067OpenAlexW2769512992MaRDI QIDQ1700438

Kobra Rabiei, Esmaeil Babolian, Yadollah Ordokhani

Publication date: 6 March 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-017-0435-0

zbMATH Keywords

convergencenumerical exampleBernoulli polynomialsoperational matricesNewton's iterative methodCaputo fractional derivativesRiemann-Liouville fractional integralsunconstrained optimization problemfractional-order optimal control problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15)

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