Optimal control of nonlocal fractional evolution equations in the α -norm of order ( 1 , 2 ) $(1,2)$
2021
This paper investigates the optimal control for a class of nonlocal fractional evolution equations of order $\gamma \in (1,2)$
in Banach spaces. An adequate definition of α-mild solutions is obtained and the existence, uniqueness and continuous dependence of α-mild solutions for the presented control system are also established. The existence of optimal pairs of nonlocal fractional evolution systems is also demonstrated with a view on the construction of the Lagrange problem. Finally, an example is propounded for the presentation of optimal control.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
38
References
1
Citations
NaN
KQI