New numerical approach for fractional variational problems using shifted Legendre orthonormal polynomials

DOI10.1007/S10957-016-0886-1zbMath1377.65071OpenAlexW2288353594MaRDI QIDQ1673884

Ramy M. Hafez, Ali H. Bhrawy, Ahmed A. El-Kalaawy, Samer S. Ezz-Eldien, Dumitru Baleanu

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-016-0886-1

zbMATH Keywords

numerical examplesLegendre polynomialsoperational matrixfractional variational problemsLagrange multiplier techniqueRiemann-Liouville integrals

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15) Discrete approximations in optimal control (49M25)

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