A FRACTIONAL NONLINEAR EVOLUTIONARY DELAY SYSTEM DRIVEN BY A HEMI-VARIATIONAL INEQUALITY IN BANACH SPACES

• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 187-206
• 页数: 20页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.01.011

摘要

This article deals with a new fractional nonlinear delay evolution system driven by a hemi-variational inequality in a Banach space.Utilizing the KKM theorem,a result concerned with the upper semicontinuity and measurability of the solution set of a hemi-variational inequality is established.By using a fixed point theorem for a condensing set-valued map,the nonemptiness and compactness of the set of mild solutions are also obtained for such a system under mild conditions.Finally,an example is presented to illustrate our main results.