Fractional Optimal Control Problems with Atangana-Baleanu Derivatives

Chongyang Liu (), Song Wang () and Zhaohua Gong
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Chongyang Liu: Shandong Technology and Business University, School of Mathematics and Information Science
Song Wang: Curtin University, School of Electrical Engineering, Computing, and Mathematical Sciences
Zhaohua Gong: Shandong Technology and Business University, School of Mathematics and Information Science

Chapter 9 in Nonlinear Fractional Optimal Control, 2026, pp 165-179 from Springer

Abstract: Abstract The kernel functions in fractional derivatives can be singular or non-singular. The most well-known fractional derivatives equipped with non-singular kernels are Atangana-Baleanu derivative and Caputo-Fabrizio derivative. In this chapter, we consider numerical solution of fractional optimal control problems with Atangana-Baleanu-Caputo derivatives. We propose a discretization scheme to convert the fractional optimal control problem into a sequence of discretized problems. The gradient optimization technique is presented to solve the resulting problem. Numerical results obtained by solving three non-trivial examples have been provided to verify the applicability and effectiveness of the proposed algorithm.

Date: 2026
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DOI: 10.1007/978-981-92-0274-4_9

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