Mathematical analysis

Materials science

Engineering

Composite material

Economics

Optimal control

Structural engineering

Finance

Mathematics

Mathematical optimization

Fractional calculus

Spline (mechanical)

Order (exchange)

Numerical analysis

Matrix (chemical analysis)

Applied mathematics

Optimal Control Applications and Methods

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.

Optimal control problems with Atangana‐Baleanu fractional derivative