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
