Controllability of impulsive fractional nonlinear control system with Mittag-Leffler kernel in Banach space

	Controllability of impulsive fractional nonlinear control system with Mittag-Leffler kernel in Banach space
International Journal of Nonlinear Analysis and Applications
دوره 13، شماره 1، خرداد 2022، صفحه 3257-3280 اصل مقاله (459.04 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6080
نویسندگان
Fadhil Abbas Naji^* ؛ Iftichar Al-Sharaa
Department of mathematics, College of Education for Pure Sciences, University of Babylon, Babel, Iraq
چکیده
In this paper, we study the controllability of a nonlinear impulsive fractional control system with Mittag-Leffler kernel in Banach space. Firstly, we present the mild solution of the control system using fractional calculus and semigroup theory. We set sufficient conditions to prove the controllability of the control system using the Nussbaum fixed point theorem. Finally, to illustrate our results, an example is given.
کلیدواژه‌ها
Controllability؛ Fractional calculus؛ Mittag-Leffler؛ semigroup theory
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