%0 Journal Article
%T Controllability of impulsive fractional nonlinear control system with Mittag-Leffler kernel in Banach space
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Naji, Fadhil Abbas
%A Al-Sharaa, Iftichar
%D 2022
%\ 03/01/2022
%V 13
%N 1
%P 3257-3280
%! Controllability of impulsive fractional nonlinear control system with Mittag-Leffler kernel in Banach space
%K Controllability
%K Fractional calculus
%K Mittag-Leffler
%K semigroup theory
%R 10.22075/ijnaa.2022.6080
%X 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.
%U https://ijnaa.semnan.ac.ir/article_6080_d94f43eaed4530f1995e61424bdd1c54.pdf