On Atangana-Baleanu fuzzy-fractional optimal control problems

Article type: Research Article

Authors: Younus, Awais^{; *} | Ghaffar, Iram

Affiliations: CASPAM, Bahauddin Zakariya University, Multan, Pakistan

Correspondence: [*] Corresponding author. Awais Younus, CASPAM, Bahauddin Zakariya University, Multan, Pakistan. E-mail: awais@bzu.edu.pk.

Abstract:  Optimal control is a very important field of study, not only in theory but in applications, and fractional optimal control is also a significant branch of research in theory and applications. Based on the concept of fuzzy process, a fuzzy fractional optimal control problem is presented. In this article, we derived the necessary and sufficient optimality conditions for a class of fuzzy-fractional optimal control problems (FFOCPs) with gH-Atangana-Baleanu fuzzy-fractional derivative expressed in Caputo sense. The main aim is to find the best possible control that minimizes the fuzzy performance index and satisfies the related ABC fuzzy-fractional dynamical systems. We also presented some examples for more illustration of the subject.

Keywords: Fuzzy-fractional derivative, Atangana-Baleanu fuzzy-fractional derivative, generalized Hakahara differentiability

Keywords: 90C46, 34K36, 93C42

DOI: 10.3233/JIFS-213028

Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 4, pp. 4061-4070, 2022