A FRACTIONAL NONLINEAR EVOLUTIONARY DELAY SYSTEM DRIVEN BY A HEMI-VARIATIONAL INEQUALITY IN BANACH SPACES |
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作者姓名: | 翁云华 李雪松 黄南京 |
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作者单位: | Department of Mathematics |
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基金项目: | supported by the National Natural Science Foundation of China(11471230,11671282)。 |
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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 hemivariational inequality is established.By using a fixed point theorem for a condensing setvalued 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.
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关 键 词: | fractional differential variational inequality fractional nonlinear delay evolution equation hemi-variational inequality condensing map KKM theorem fixed point theorem |
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