Hilfer fractional evolution hemivariational inequalities with nonlocal initial conditions and optimal controls

Nonlinear Analysis

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