Semantic Scholar Open Access 2019 163 sitasi

On the fractional optimal control problems with a general derivative operator

A. Jajarmi D. Baleanu

Abstrak

This paper deals with a general form of fractional optimal control problems involving the fractional derivative with singular or non‐singular kernel. The necessary conditions for the optimality of these problems are derived and a new numerical method is designed to solve these equations effectively. Simulation results indicate that the proposed method works well and provides satisfactory results with regard to accuracy and computational effort. Comparative results also verify that a particular case with Mittag‐Leffler kernel improves the performance of the controlled system in terms of the transient response compared to the other fractional‐ and integer‐order derivatives.

Topik & Kata Kunci

Mathematics

Penulis (2)

A. Jajarmi

D. Baleanu

Format Sitasi

APA MLA BibTeX

Jajarmi, A., Baleanu, D. (2019). On the fractional optimal control problems with a general derivative operator. https://doi.org/10.1002/asjc.2282

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Total Sitasi: 163×
Sumber Database: Semantic Scholar
DOI: 10.1002/asjc.2282
Akses: Open Access ✓