标题： 一类分数阶半变分不等式的存在性与近似能控性 显示英文标题

标题： Existence And Approximate Controllability for a class of Fractional Order Hemivariational Inequalities

摘要： 本文讨论了由Hilbert空间中的非线性半变分不等式驱动的分数阶微分控制问题的近似能控性。 首先，我们通过使用非光滑分析和不动点技术，证明了一个与半变分不等式等价的分数阶控制包含问题的温和解的存在性。 进一步地，通过假设相应的线性系统是近似能控的，我们建立了包含问题近似能控性的充分条件。 所得出的包含问题的存在性和能控性结果适用于所考虑的非线性半变分问题。 最后，我们提供一个例子来说明所得到结果的有效性。 显示英文摘要

摘要： This paper discusses the approximate controllability of a fractional differential control problem driven by a nonlinear hemivariational inequality in a Hilbert space. First, we prove the existence of a mild solution for a fractional control inclusion problem which is equivalent to a hemivariational inequality by using the nonsmooth analysis and fixed point technique. Further, we established sufficient conditions for the approximate controllability of our inclusion problem by taking corresponding linear system is approximately controllable. The existence and controllability results obtained for the inclusion problem are valid for considered nonlinear hemivariational problem. Finally, we provide an example to illustrate the efficiency of the developed results.