%0 Journal Article
%T Exact controllability and continuous dependence of solution of a conformable fractional control system
%J Mathematical Analysis and its Contemporary Applications
%I RGNNA Publishing Group.
%Z 2716-9898
%A Das, Sanjukta
%D 2022
%\ 04/01/2022
%V 4
%N 2
%P 35-46
%! Exact controllability and continuous dependence of solution of a conformable fractional control system
%K Non-dense operator
%K Deviated Argument
%K Non-local conditions
%K Conformal fractional differential equation
%K Controllability
%R 10.30495/maca.2022.1947815.1042
%X The exact controllability of a conformable fractional differential system is established in this paper. The system is described by a non-densely defined linear part satisfying the Hille Yosida condition, and a control term appearing in the nonlinear part. The existence of mild solution and exact controllability is proved by Banach fixed point theorem for the system with non-local conditions and deviated argument. The continuous dependence of the mild solution is also studied. An example is discussed to illustrate the results.
%U https://www.macajournal.com/article_688922_dc1847ed54b8bae4bc82b1be705e9e18.pdf