Optimal control problems with Atangana‐Baleanu fractional derivative
Haleh Tajadodi, Aziz Khan, J. F. Gómez‐Aguilar, Hasib Khan
Abstract
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.
Topics & Concepts
MathematicsFractional calculusApplied mathematicsOptimal controlMatrix (chemical analysis)Numerical analysisSpline (mechanical)Mathematical optimizationOrder (exchange)Mathematical analysisEngineeringEconomicsComposite materialStructural engineeringFinanceMaterials scienceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods