Optimal control problems with Atangana‐Baleanu fractional derivative

By Haleh Tajadodi, Aziz Khan, José Francisco Gómez‐Aguilar, Hasib Khan. Optimal control applications & methods, 2020

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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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

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