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Optimal control problems with Atangana‐Baleanu fractional derivative
Author(s) -
Tajadodi Haleh,
Khan Aziz,
Francisco GómezAguilar José,
Khan Hasib
Publication year - 2020
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2664
Subject(s) - mathematics , fractional calculus , optimal control , matrix (chemical analysis) , numerical analysis , spline (mechanical) , mathematical optimization , order (exchange) , mathematical analysis , engineering , materials science , structural engineering , composite material , finance , economics
Summary In this paper, we study fractional‐order optimal control problems (FOCPs) involving the Atangana‐Baleanu fractional derivative. A computational method based on B‐spline polynomials and their operational matrix of Atangana‐Baleanu fractional integration is proposed for the numerical solution of this class of problems. With this numerical technique, the FOCPs are reduced to a system of equations which are solved for the unknown parameters with the help of Mathematica ® software. Our results show the applicability and usefulness of the numerical technique.