Ecole Centrale School of Engineering, Mahindra University, India
Abstract
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.
Das,S . (2022). Exact controllability and continuous dependence of solution of a conformable fractional control system. Mathematical Analysis and its Contemporary Applications, 4(2), 35-46. doi: 10.30495/maca.2022.1947815.1042
MLA
Das,S . "Exact controllability and continuous dependence of solution of a conformable fractional control system", Mathematical Analysis and its Contemporary Applications, 4, 2, 2022, 35-46. doi: 10.30495/maca.2022.1947815.1042
HARVARD
Das S. (2022). 'Exact controllability and continuous dependence of solution of a conformable fractional control system', Mathematical Analysis and its Contemporary Applications, 4(2), pp. 35-46. doi: 10.30495/maca.2022.1947815.1042
CHICAGO
S Das, "Exact controllability and continuous dependence of solution of a conformable fractional control system," Mathematical Analysis and its Contemporary Applications, 4 2 (2022): 35-46, doi: 10.30495/maca.2022.1947815.1042
VANCOUVER
Das S. Exact controllability and continuous dependence of solution of a conformable fractional control system. MACA. 2022;4(2):35-46. doi: 10.30495/maca.2022.1947815.1042
