A numerical approach based on fractional-order hybrid functions of block-pulse and Bernoulli polynomials for numerical solutions of fractional optimal control problems

Octavian Postavaru and Antonela Toma

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 194, issue C, 269-284

Abstract: We present, an accurate and efficient computational method based on the fractional-order hybrid of block-pulse functions and Bernoulli polynomials for solving fractional optimal control problems. The Riemann–Liouville fractional integral operator for the fractional-order hybrid of block-pulse functions and Bernoulli polynomials is constructed. The original problem is transformed to a system of algebraic equations which can be solved easily. The method is very accurate and is computationally very attractive. Examples are included to provide the capacity of the proposal method.

Keywords: Hybrid functions; Block-pulse; Bernoulli polynomials; Fractional optimal control; Caputo derivative (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:194:y:2022:i:c:p:269-284

DOI: 10.1016/j.matcom.2021.12.001

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