An outlook on the controllability of non-instantaneous impulsive neutral fractional nonlocal systems via Atangana–Baleanu–Caputo derivative

Autor: V. Vijayaraj, C. Ravichandran, Kottakkaran Sooppy Nisar, N. Valliammal, K. Logeswari, Wedad Albalawi, A. Abdel-Aty
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Arab Journal of Basic and Applied Sciences, Vol 30, Iss 1, Pp 440-451 (2023)
Druh dokumentu: article
ISSN: 25765299
2576-5299
DOI: 10.1080/25765299.2023.2227493
Popis: AbstractIn this article, we tackle the optimal control and controllability of neutral fractional nonlocal integro-differential equations (NFNIE) of Atangana–Baleanu–Caputo with non-instantaneous impulses. Semigroup theory, noncompactness measurements and fixed point approaches were used to attain the results. An illustration is provided to support the theoretical findings.
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