Nonlinear Analysis | |
Hilfer fractional evolution hemivariational inequalities with nonlocal initial conditions and optimal controls | |
Yong-Kui Chang1  Yatian Pei1  | |
[1] Xidian University; | |
关键词: Hilfer fractional evolution equation; optimal state-control pairs; hemivariational inequalities; nonlocal initial condition; | |
DOI : 10.15388/NA.2019.2.3 | |
来源: DOAJ |
【 摘 要 】
In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition. We first establish sufficient conditions for the existence of mild solutions to the addressed control system via properties of generalized Clarke subdifferential and a fixed point theorem for condensing multivalued maps. Then we present the existence of optimal state-control pairs of the limited Lagrange optimal systems governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition. The optimal control results are derived without uniqueness of solutions for the control system.
【 授权许可】
Unknown